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38970875904 = 213311314033
BaseRepresentation
bin100100010010110110…
…000110000000000000
310201120221120121122020
4210102312012000000
51114303021012104
625523013041440
72546506660002
oct442266060000
9121527517566
1038970875904
1115589052964
127677326280
1338a0ab8cac
141c59a3c372
1510314a12d9
hex912d86000

38970875904 has 112 divisors (see below), whose sum is σ = 104843074032. Its totient is φ = 12874416128.

The previous prime is 38970875897. The next prime is 38970875917. The reversal of 38970875904 is 40957807983.

It is a super-3 number, since 3×389708759043 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2770072 + ... + 2784104.

Almost surely, 238970875904 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 38970875904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52421537016).

38970875904 is an abundant number, since it is smaller than the sum of its proper divisors (65872198128).

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

38970875904 is a wasteful number, since it uses less digits than its factorization.

38970875904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14175 (or 14151 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 38970875904 in words is "thirty-eight billion, nine hundred seventy million, eight hundred seventy-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 512 678 768 904 1024 1356 1536 1808 2048 2712 3072 3616 4096 5424 6144 7232 8192 10848 12288 14033 14464 21696 24576 28066 28928 42099 43392 56132 57856 84198 86784 112264 115712 168396 173568 224528 231424 336792 347136 449056 462848 673584 694272 898112 925696 1347168 1388544 1585729 1796224 2694336 2777088 3171458 3592448 4757187 5388672 6342916 7184896 9514374 10777344 12685832 14369792 19028748 21554688 25371664 28739584 38057496 43109376 50743328 57479168 76114992 86218752 101486656 114958336 152229984 172437504 202973312 304459968 344875008 405946624 608919936 811893248 1217839872 1623786496 2435679744 3247572992 4871359488 6495145984 9742718976 12990291968 19485437952 38970875904