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38014911828 = 223217178934721
BaseRepresentation
bin100011011001110111…
…011000010101010100
310122010022202121110100
4203121313120111110
51110323304134303
625244103254100
72514021263505
oct433167302524
9118108677410
1038014911828
1115138476a03
12744b14a330
13377aa2968a
141ba8ab4bac
15ec75bc8a3
hex8d9dd8554

38014911828 has 72 divisors (see below), whose sum is σ = 101805598440. Its totient is φ = 11919237120.

The previous prime is 38014911757. The next prime is 38014911829. The reversal of 38014911828 is 82811941083.

38014911828 is a `hidden beast` number, since 3 + 80 + 1 + 491 + 1 + 82 + 8 = 666.

38014911828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21709664964 + 16305246864 = 147342^2 + 127692^2 .

It is a super-2 number, since 2×380149118282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38014911829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1077508 + ... + 1112228.

It is an arithmetic number, because the mean of its divisors is an integer number (1413966645).

Almost surely, 238014911828 is an apocalyptic number.

It is an amenable number.

38014911828 is an abundant number, since it is smaller than the sum of its proper divisors (63790686612).

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

38014911828 is a wasteful number, since it uses less digits than its factorization.

38014911828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36537 (or 36532 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 38014911828 in words is "thirty-eight billion, fourteen million, nine hundred eleven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1789 3578 5367 7156 10734 16101 21468 30413 32202 34721 60826 64404 69442 91239 104163 121652 138884 182478 208326 273717 312489 364956 416652 547434 590257 624978 1094868 1180514 1249956 1770771 2361028 3541542 5312313 7083084 10624626 21249252 62115869 124231738 186347607 248463476 372695214 559042821 745390428 1055969773 1118085642 2111939546 2236171284 3167909319 4223879092 6335818638 9503727957 12671637276 19007455914 38014911828