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38152636929 = 3411219732
BaseRepresentation
bin100011100010000100…
…110000101000000001
310122110220220202210000
4203202010300220001
51111114033340204
625305503230213
72520313030431
oct434204605001
9118426822700
1038152636929
11151a9194900
1274892a8369
1337a041b414
141bbd0c62c1
15ed4725039
hex8e2130a01

38152636929 has 45 divisors (see below), whose sum is σ = 62677455379. Its totient is φ = 23111090640.

The previous prime is 38152636927. The next prime is 38152636931. The reversal of 38152636929 is 92963625183.

The square root of 38152636929 is 195327.

It is a perfect power (a square), and thus also a powerful number.

38152636929 is a `hidden beast` number, since 3 + 81 + 526 + 36 + 9 + 2 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (38152636927) and next prime (38152636931).

It can be written as a sum of positive squares in only one way, i.e., 8205642225 + 29946994704 = 90585^2 + 173052^2 .

It is not a de Polignac number, because 38152636929 - 21 = 38152636927 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38152636927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19336387 + ... + 19338359.

Almost surely, 238152636929 is an apocalyptic number.

38152636929 is the 195327-th square number.

38152636929 is the 97664-th centered octagonal number.

It is an amenable number.

38152636929 is a deficient number, since it is larger than the sum of its proper divisors (24524818450).

38152636929 is an frugal number, since it uses more digits than its factorization.

38152636929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 1987 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 38152636929 in words is "thirty-eight billion, one hundred fifty-two million, six hundred thirty-six thousand, nine hundred twenty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 1973 3267 5919 9801 17757 21703 53271 65109 159813 195327 238733 585981 716199 1757943 2148597 3892729 6445791 11678187 19337373 35034561 42820019 105103683 128460057 315311049 385380171 471020209 1156140513 1413060627 3468421539 4239181881 12717545643 38152636929