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38857868352 = 2632659910223
BaseRepresentation
bin100100001100000111…
…000000010001000000
310201022001221020102100
4210030013000101000
51114040103241402
625503454550400
72543635300632
oct441407002100
9121261836370
1038857868352
1115530287696
127645508400
13388356ca14
141c48a22a52
1510265cc71c
hex90c1c0440

38857868352 has 84 divisors (see below), whose sum is σ = 111406838400. Its totient is φ = 12949393152.

The previous prime is 38857868347. The next prime is 38857868369. The reversal of 38857868352 is 25386875883.

38857868352 is a `hidden beast` number, since 3 + 8 + 8 + 578 + 6 + 8 + 3 + 52 = 666.

It is a super-3 number, since 3×388578683523 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 38857868352.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3795913 + ... + 3806135.

Almost surely, 238857868352 is an apocalyptic number.

38857868352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38857868352 is an abundant number, since it is smaller than the sum of its proper divisors (72548970048).

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

38857868352 is a wasteful number, since it uses less digits than its factorization.

38857868352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16840 (or 16827 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 38857868352 in words is "thirty-eight billion, eight hundred fifty-seven million, eight hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 6599 10223 13198 19797 20446 26396 30669 39594 40892 52792 59391 61338 79188 81784 92007 105584 118782 122676 158376 163568 184014 211168 237564 245352 316752 327136 368028 422336 475128 490704 633504 654272 736056 950256 981408 1267008 1472112 1900512 1962816 2944224 3801024 5888448 67461577 134923154 202384731 269846308 404769462 539692616 607154193 809538924 1079385232 1214308386 1619077848 2158770464 2428616772 3238155696 4317540928 4857233544 6476311392 9714467088 12952622784 19428934176 38857868352