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38235675136 = 29389191977
BaseRepresentation
bin100011100111000001…
…100001101000000000
310122200201011112210011
4203213001201220000
51111301313101021
625322031114304
72522341606351
oct434701415000
9118621145704
1038235675136
111524105071a
1274b1072994
1337b46a3659
141bca13dd28
15edbb78de1
hex8e7061a00

38235675136 has 40 divisors (see below), whose sum is σ = 76593462660. Its totient is φ = 19068592128.

The previous prime is 38235675109. The next prime is 38235675193. The reversal of 38235675136 is 63157653283.

It can be written as a sum of positive squares in 2 ways, for example, as 35917830400 + 2317844736 = 189520^2 + 48144^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38235675136.

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, 103180 + ... + 295156.

Almost surely, 238235675136 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 38235675136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38296731330).

38235675136 is an abundant number, since it is smaller than the sum of its proper divisors (38357787524).

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

38235675136 is an equidigital number, since it uses as much as digits as its factorization.

38235675136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192384 (or 192368 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 49.

The spelling of 38235675136 in words is "thirty-eight billion, two hundred thirty-five million, six hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 389 512 778 1556 3112 6224 12448 24896 49792 99584 191977 199168 383954 767908 1535816 3071632 6143264 12286528 24573056 49146112 74679053 98292224 149358106 298716212 597432424 1194864848 2389729696 4779459392 9558918784 19117837568 38235675136