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3831117696 = 27337158363
BaseRepresentation
bin1110010001011010…
…0011011110000000
3100212222220221111000
43210112203132000
530321231231241
61432054052000
7163636651230
oct34426433600
910788827430
103831117696
11169662547a
128ab04a000
13490941063
14284b51cc0
15176515eb6
hexe45a3780

3831117696 has 128 divisors (see below), whose sum is σ = 12922502400. Its totient is φ = 1094598144.

The previous prime is 3831117673. The next prime is 3831117707. The reversal of 3831117696 is 6967111383.

3831117696 is a `hidden beast` number, since 383 + 11 + 176 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×38311176963 (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54990 + ... + 103373.

It is an arithmetic number, because the mean of its divisors is an integer number (100957050).

Almost surely, 23831117696 is an apocalyptic number.

3831117696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3831117696 is an abundant number, since it is smaller than the sum of its proper divisors (9091384704).

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

3831117696 is a wasteful number, since it uses less digits than its factorization.

3831117696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158393 (or 158375 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 3831117696 is about 61896.0232648270. The cubic root of 3831117696 is about 1564.7387269470.

The spelling of 3831117696 in words is "three billion, eight hundred thirty-one million, one hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 158363 316726 475089 633452 950178 1108541 1266904 1425267 1900356 2217082 2533808 2850534 3325623 3800712 4275801 4434164 5067616 5701068 6651246 7601424 8551602 8868328 9976869 10135232 11402136 13302492 15202848 17103204 17736656 19953738 20270464 22804272 26604984 29930607 30405696 34206408 35473312 39907476 45608544 53209968 59861214 60811392 68412816 70946624 79814952 91217088 106419936 119722428 136825632 141893248 159629904 182434176 212839872 239444856 273651264 319259808 425679744 478889712 547302528 638519616 957779424 1277039232 1915558848 3831117696