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45145712664 = 23331316077533
BaseRepresentation
bin101010000010111001…
…001110100000011000
311022112021121211021000
4222002321032200120
51214424300301124
632423433145000
73155516140353
oct520271164030
9138467554230
1045145712664
111816763a138
1288bb25b160
13434616b760
142283b5d29a
1512936226c9
hexa82e4e818

45145712664 has 64 divisors (see below), whose sum is σ = 135051285600. Its totient is φ = 13890987648.

The previous prime is 45145712659. The next prime is 45145712671. The reversal of 45145712664 is 46621754154.

45145712664 is a `hidden beast` number, since 4 + 5 + 14 + 571 + 2 + 6 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8035959 + ... + 8041574.

Almost surely, 245145712664 is an apocalyptic number.

It is an amenable number.

45145712664 is an abundant number, since it is smaller than the sum of its proper divisors (89905572936).

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

45145712664 is a wasteful number, since it uses less digits than its factorization.

45145712664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16077561 (or 16077551 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 45145712664 in words is "forty-five billion, one hundred forty-five million, seven hundred twelve thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 16077533 32155066 48232599 64310132 96465198 128620264 144697797 192930396 209007929 289395594 385860792 418015858 434093391 578791188 627023787 836031716 868186782 1157582376 1254047574 1672063432 1736373564 1881071361 2508095148 3472747128 3762142722 5016190296 5643214083 7524285444 11286428166 15048570888 22572856332 45145712664