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38372100113052 = 22331154713076939
BaseRepresentation
bin10001011100110001100110…
…11001011000001010011100
312000212100002122002102111000
420232120303121120022130
520012142030112104202
6213335522140030300
711040202261235256
oct1056306331301234
9160770078072430
1038372100113052
1111254575178682
12437892a832390
131854620406aa4
1496931065ccd6
1546822e09991c
hex22e63365829c

38372100113052 has 48 divisors (see below), whose sum is σ = 99484116390400. Its totient is φ = 12790585110960.

The previous prime is 38372100112993. The next prime is 38372100113059. The reversal of 38372100113052 is 25031100127383.

It is a happy number.

38372100113052 is a `hidden beast` number, since 3 + 8 + 372 + 100 + 1 + 130 + 52 = 666.

It is a super-2 number, since 2×383721001130522 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38372100112998 and 38372100113016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38372100113059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10932399 + ... + 14009337.

Almost surely, 238372100113052 is an apocalyptic number.

It is an amenable number.

38372100113052 is an abundant number, since it is smaller than the sum of its proper divisors (61112016277348).

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

38372100113052 is a wasteful number, since it uses less digits than its factorization.

38372100113052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192423 (or 3192415 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 38372100113052 in words is "thirty-eight trillion, three hundred seventy-two billion, one hundred million, one hundred thirteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 115471 230942 346413 461884 692826 1039239 1385652 2078478 3076939 3117717 4156956 6153878 6235434 9230817 12307756 12470868 18461634 27692451 36923268 55384902 83077353 110769804 166154706 332309412 355297223269 710594446538 1065891669807 1421188893076 2131783339614 3197675009421 4263566679228 6395350018842 9593025028263 12790700037684 19186050056526 38372100113052