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194425002180444 = 223724739503178093
BaseRepresentation
bin101100001101010000011001…
…001100001011111101011100
3221111101211220200200020111010
4230031100121030023331130
5200440424401024233234
61525301340222055220
755644512541606600
oct5415203114137534
9844354820606433
10194425002180444
1156a4a1a9099542
1219980a4ba1a510
138464278388239
14360231278b500
1517726919a36e9
hexb0d41930bf5c

194425002180444 has 144 divisors (see below), whose sum is σ = 538969867204608. Its totient is φ = 54366404141952.

The previous prime is 194425002180421. The next prime is 194425002180467. The reversal of 194425002180444 is 444081200524491.

It is an interprime number because it is at equal distance from previous prime (194425002180421) and next prime (194425002180467).

It is a junction number, because it is equal to n+sod(n) for n = 194425002180393 and 194425002180402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1091615862 + ... + 1091793954.

It is an arithmetic number, because the mean of its divisors is an integer number (3742846300032).

Almost surely, 2194425002180444 is an apocalyptic number.

194425002180444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194425002180444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269484933602304).

194425002180444 is an abundant number, since it is smaller than the sum of its proper divisors (344544865024164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

194425002180444 is a wasteful number, since it uses less digits than its factorization.

194425002180444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217664 (or 217655 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 194425002180444 in words is "one hundred ninety-four trillion, four hundred twenty-five billion, two million, one hundred eighty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 94 98 141 147 188 196 282 294 329 564 588 658 987 1316 1974 2303 3948 4606 6909 9212 13818 27636 39503 79006 118509 158012 178093 237018 276521 356186 474036 534279 553042 712372 829563 1068558 1106084 1246651 1659126 1856641 1935647 2137116 2493302 3318252 3713282 3739953 3871294 4986604 5569923 5806941 7426564 7479906 7742588 8370371 8726557 11139846 11613882 12996487 14959812 16740742 17453114 22279692 23227764 25111113 25992974 26179671 33481484 34906228 38989461 50222226 51985948 52359342 58592597 77978922 90975409 100444452 104718684 117185194 155957844 175777791 181950818 234370388 272926227 351555582 363901636 410148179 545852454 703111164 820296358 1091704908 1230444537 1640592716 2460889074 4921778148 7035207779 14070415558 21105623337 28140831116 42211246674 49246454453 84422493348 98492908906 147739363359 196985817812 295478726718 330654765613 344725181171 590957453436 661309531226 689450362342 991964296839 1034175543513 1322619062452 1378900724684 1983928593678 2068351087026 2314583359291 3967857187356 4136702174052 4629166718582 6943750077873 9258333437164 13887500155746 16202083515037 27775000311492 32404167030074 48606250545111 64808334060148 97212501090222 194425002180444