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674063423352 = 2333111931146917
BaseRepresentation
bin10011100111100010100…
…11111001011101111000
32101102212122020210022000
421303301103321131320
542020440214021402
61233354354301000
766461630363664
oct11636123713570
92342778223260
10674063423352
1123a961258790
12aa77a587760
134b743ba1777
14248a67dd8a4
1512802080c1c
hex9cf14f9778

674063423352 has 128 divisors (see below), whose sum is σ = 2043688147200. Its totient is φ = 204154473600.

The previous prime is 674063423351. The next prime is 674063423401. The reversal of 674063423352 is 253324360476.

674063423352 is a `hidden beast` number, since 6 + 7 + 4 + 0 + 634 + 2 + 3 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×6740634233522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 674063423298 and 674063423307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674063423351) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4514598 + ... + 4661514.

It is an arithmetic number, because the mean of its divisors is an integer number (15966313650).

Almost surely, 2674063423352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 674063423352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021844073600).

674063423352 is an abundant number, since it is smaller than the sum of its proper divisors (1369624723848).

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

674063423352 is a wasteful number, since it uses less digits than its factorization.

674063423352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148874 (or 148864 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 674063423352 in words is "six hundred seventy-four billion, sixty-three million, four hundred twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 1931 2376 3862 5793 7724 11586 15448 17379 21241 23172 34758 42482 46344 52137 63723 69516 84964 104274 127446 139032 146917 169928 191169 208548 254892 293834 382338 417096 440751 509784 573507 587668 764676 881502 1147014 1175336 1322253 1529352 1616087 1763004 2294028 2644506 3232174 3526008 3966759 4588056 4848261 5289012 6464348 7933518 9696522 10578024 12928696 14544783 15867036 19393044 29089566 31734072 38786088 43634349 58179132 87268698 116358264 174537396 283696727 349074792 567393454 851090181 1134786908 1702180362 2269573816 2553270543 3120663997 3404360724 5106541086 6241327994 6808721448 7659811629 9361991991 10213082172 12482655988 15319623258 18723983982 20426164344 24965311976 28085975973 30639246516 37447967964 56171951946 61278493032 74895935928 84257927919 112343903892 168515855838 224687807784 337031711676 674063423352