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14939195076 = 223213215672
BaseRepresentation
bin11011110100111001…
…00000011011000100
31102120010201202000100
431322130200123010
5221043413220301
610510222444100
71036131030411
oct157234403304
942503652010
1014939195076
116376871413
122a8b133630
131541079900
14a1a117108
155c6803286
hex37a7206c4

14939195076 has 81 divisors (see below), whose sum is σ = 40917370221. Its totient is φ = 4593741984.

The previous prime is 14939195059. The next prime is 14939195081. The reversal of 14939195076 is 67059193941.

The square root of 14939195076 is 122226.

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

14939195076 is a `hidden beast` number, since 1 + 49 + 3 + 91 + 9 + 507 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2209940100 + 12729254976 = 47010^2 + 112824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9532845 + ... + 9534411.

Almost surely, 214939195076 is an apocalyptic number.

14939195076 is the 122226-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14939195076

14939195076 is an abundant number, since it is smaller than the sum of its proper divisors (25978175145).

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

14939195076 is a wasteful number, since it uses less digits than its factorization.

14939195076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 14939195076 in words is "fourteen billion, nine hundred thirty-nine million, one hundred ninety-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 1567 2028 3042 3134 4701 6084 6268 9402 14103 18804 20371 28206 40742 56412 61113 81484 122226 183339 244452 264823 366678 529646 733356 794469 1059292 1588938 2383407 2455489 3177876 4766814 4910978 7366467 9533628 9821956 14732934 22099401 29465868 31921357 44198802 63842714 88397604 95764071 127685428 191528142 287292213 383056284 414977641 574584426 829955282 1149168852 1244932923 1659910564 2489865846 3734798769 4979731692 7469597538 14939195076