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38125629568 = 271322912037
BaseRepresentation
bin100011100000011101…
…101111000010000000
310122102001002122122101
4203200131233002000
51111040130121233
625303100320144
72516534334655
oct434035570200
9118361078571
1038125629568
1115194a18874
127480243054
133797953630
141bb9695c2c
15ed218cc7d
hex8e076f080

38125629568 has 32 divisors (see below), whose sum is σ = 81795975660. Its totient is φ = 17596443648.

The previous prime is 38125629559. The next prime is 38125629571. The reversal of 38125629568 is 86592652183.

It can be written as a sum of positive squares in 2 ways, for example, as 36891653184 + 1233976384 = 192072^2 + 35128^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11454355 + ... + 11457682.

Almost surely, 238125629568 is an apocalyptic number.

It is an amenable number.

38125629568 is an abundant number, since it is smaller than the sum of its proper divisors (43670346092).

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

38125629568 is a wasteful number, since it uses less digits than its factorization.

38125629568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22912064 (or 22912052 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 55.

The spelling of 38125629568 in words is "thirty-eight billion, one hundred twenty-five million, six hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 22912037 45824074 91648148 183296296 297856481 366592592 595712962 733185184 1191425924 1466370368 2382851848 2932740736 4765703696 9531407392 19062814784 38125629568