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38358652842304 = 262961338809469
BaseRepresentation
bin10001011100011000100011…
…11000000111000101000000
312000211001101110200021220021
420232030101320013011000
520011432010111423204
6213325415530223224
711036215114306264
oct1056142170070500
9160731343607807
1038358652842304
11112498a4581083
1243761b7284b14
131853289482752
149687d67460a4
15467be3748154
hex22e311e07140

38358652842304 has 56 divisors (see below), whose sum is σ = 80033573003400. Its totient is φ = 18214396999680.

The previous prime is 38358652842299. The next prime is 38358652842311. The reversal of 38358652842304 is 40324825685383.

It can be written as a sum of positive squares in 4 ways, for example, as 6733775882304 + 31624876960000 = 2594952^2 + 5623600^2 .

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169291519 + ... + 169517950.

Almost surely, 238358652842304 is an apocalyptic number.

It is an amenable number.

38358652842304 is an abundant number, since it is smaller than the sum of its proper divisors (41674920161096).

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

38358652842304 is a wasteful number, since it uses less digits than its factorization.

38358652842304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338809571 (or 338809561 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 61.

The spelling of 38358652842304 in words is "thirty-eight trillion, three hundred fifty-eight billion, six hundred fifty-two million, eight hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 61 64 116 122 232 244 464 488 928 976 1769 1856 1952 3538 3904 7076 14152 28304 56608 113216 338809469 677618938 1355237876 2710475752 5420951504 9825474601 10841903008 19650949202 20667377609 21683806016 39301898404 41334755218 78603796808 82669510436 157207593616 165339020872 314415187232 330678041744 599353950661 628830374464 661356083488 1198707901322 1322712166976 2397415802644 4794831605288 9589663210576 19179326421152 38358652842304