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634914913968 = 24351621100741
BaseRepresentation
bin10010011110100111110…
…00001011111010110000
32020200211022102110100000
421033103320023322300
540400301204221333
61203401554030000
763604532503056
oct11172370137260
92220738373300
10634914913968
112252a1a0a1a5
12a3073878300
1347b4535cb0a
1422a313621d6
15117b01e2713
hex93d3e0beb0

634914913968 has 120 divisors (see below), whose sum is σ = 1843845364816. Its totient is φ = 211505644800.

The previous prime is 634914913949. The next prime is 634914913981. The reversal of 634914913968 is 869319419436.

634914913968 is a `hidden beast` number, since 6 + 3 + 491 + 4 + 9 + 139 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6252078 + ... + 6352818.

Almost surely, 2634914913968 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 634914913968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921922682408).

634914913968 is an abundant number, since it is smaller than the sum of its proper divisors (1208930450848).

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

634914913968 is a wasteful number, since it uses less digits than its factorization.

634914913968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102385 (or 102367 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 634914913968 in words is "six hundred thirty-four billion, nine hundred fourteen million, nine hundred thirteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1621 1944 3242 3888 4863 6484 9726 12968 14589 19452 25936 29178 38904 43767 58356 77808 87534 100741 116712 131301 175068 201482 233424 262602 302223 350136 393903 402964 525204 604446 700272 787806 805928 906669 1050408 1208892 1575612 1611856 1813338 2100816 2417784 2720007 3151224 3626676 4835568 5440014 6302448 7253352 8160021 10880028 14506704 16320042 21760056 24480063 32640084 43520112 48960126 65280168 97920252 130560336 163301161 195840504 326602322 391681008 489903483 653204644 979806966 1306409288 1469710449 1959613932 2612818576 2939420898 3919227864 4409131347 5878841796 7838455728 8818262694 11757683592 13227394041 17636525388 23515367184 26454788082 35273050776 39682182123 52909576164 70546101552 79364364246 105819152328 158728728492 211638304656 317457456984 634914913968