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194425664496 = 2437323350683
BaseRepresentation
bin1011010100010010101…
…1000011001111110000
3200120211212012002201220
42311010223003033300
511141140432230441
6225152400425040
720022022611000
oct2650453031760
9616755162656
10194425664496
1175501245458
1231820918180
13154464ac4bb
1495a5a38000
1550cddbe466
hex2d44ac33f0

194425664496 has 160 divisors (see below), whose sum is σ = 588258777600. Its totient is φ = 55310685696.

The previous prime is 194425664473. The next prime is 194425664497. The reversal of 194425664496 is 694466524491.

It is a super-2 number, since 2×1944256644962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194425664497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3810771 + ... + 3861453.

It is an arithmetic number, because the mean of its divisors is an integer number (3676617360).

Almost surely, 2194425664496 is an apocalyptic number.

194425664496 is a gapful number since it is divisible by the number (16) 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 194425664496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294129388800).

194425664496 is an abundant number, since it is smaller than the sum of its proper divisors (393833113104).

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

194425664496 is a wasteful number, since it uses less digits than its factorization.

194425664496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50948 (or 50928 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 60.

The spelling of 194425664496 in words is "one hundred ninety-four billion, four hundred twenty-five million, six hundred sixty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 233 294 336 343 392 466 588 686 699 784 932 1029 1176 1372 1398 1631 1864 2058 2352 2744 2796 3262 3728 4116 4893 5488 5592 6524 8232 9786 11184 11417 13048 16464 19572 22834 26096 34251 39144 45668 50683 68502 78288 79919 91336 101366 137004 152049 159838 182672 202732 239757 274008 304098 319676 354781 405464 479514 548016 608196 639352 709562 810928 959028 1064343 1216392 1278704 1419124 1918056 2128686 2432784 2483467 2838248 3836112 4257372 4966934 5676496 7450401 8514744 9933868 11809139 14900802 17029488 17384269 19867736 23618278 29801604 34768538 35427417 39735472 47236556 52152807 59603208 69537076 70854834 82663973 94473112 104305614 119206416 139074152 141709668 165327946 188946224 208611228 247991919 278148304 283419336 330655892 417222456 495983838 566838672 578647811 661311784 834444912 991967676 1157295622 1322623568 1735943433 1983935352 2314591244 3471886866 3967870704 4050534677 4629182488 6943773732 8101069354 9258364976 12151604031 13887547464 16202138708 24303208062 27775094928 32404277416 48606416124 64808554832 97212832248 194425664496