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45416625084 = 22324751535209
BaseRepresentation
bin101010010011000010…
…101011001110111100
311100020011101121020100
4222103002223032330
51221003124000314
632510351521100
73165315641445
oct522302531674
9140204347210
1045416625084
11182965566a6
128975b29190
13438a32396c
1422abb202cc
1512ac2d7c09
hexa930ab3bc

45416625084 has 72 divisors (see below), whose sum is σ = 117291021120. Its totient is φ = 14811052032.

The previous prime is 45416625073. The next prime is 45416625103. The reversal of 45416625084 is 48052661454.

It is a happy number.

45416625084 is a `hidden beast` number, since 4 + 5 + 4 + 16 + 625 + 0 + 8 + 4 = 666.

45416625084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8716272 + ... + 8721480.

It is an arithmetic number, because the mean of its divisors is an integer number (1629041960).

Almost surely, 245416625084 is an apocalyptic number.

It is an amenable number.

45416625084 is an abundant number, since it is smaller than the sum of its proper divisors (71874396036).

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

45416625084 is a wasteful number, since it uses less digits than its factorization.

45416625084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10419 (or 10414 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 45416625084 in words is "forty-five billion, four hundred sixteen million, six hundred twenty-five thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 5153 5209 10306 10418 15459 15627 20612 20836 30918 31254 46377 46881 61836 62508 92754 93762 185508 187524 242191 244823 484382 489646 726573 734469 968764 979292 1453146 1468938 2179719 2203407 2906292 2937876 4359438 4406814 8718876 8813628 26841977 53683954 80525931 107367908 161051862 241577793 322103724 483155586 966311172 1261572919 2523145838 3784718757 5046291676 7569437514 11354156271 15138875028 22708312542 45416625084