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18720625716 = 2235134992969
BaseRepresentation
bin10001011011110101…
…100001010000110100
31210022200011022200000
4101123311201100310
5301314440010331
612333343551300
71231625456502
oct213365412064
953280138600
1018720625716
117a3733a201
1237655bb530
1319c4611b30
14c98413672
157487a20e6
hex45bd61434

18720625716 has 144 divisors (see below), whose sum is σ = 52972920000. Its totient is φ = 5746712832.

The previous prime is 18720625699. The next prime is 18720625723. The reversal of 18720625716 is 61752602781.

18720625716 is a `hidden beast` number, since 1 + 8 + 7 + 2 + 0 + 625 + 7 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6303880 + ... + 6306848.

It is an arithmetic number, because the mean of its divisors is an integer number (367867500).

Almost surely, 218720625716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18720625716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26486460000).

18720625716 is an abundant number, since it is smaller than the sum of its proper divisors (34252294284).

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

18720625716 is a wasteful number, since it uses less digits than its factorization.

18720625716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 18720625716 in words is "eighteen billion, seven hundred twenty million, six hundred twenty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 499 702 972 998 1053 1404 1497 1996 2106 2969 2994 3159 4212 4491 5938 5988 6318 6487 8907 8982 11876 12636 12974 13473 17814 17964 19461 25948 26721 26946 35628 38597 38922 40419 53442 53892 58383 77194 77844 80163 80838 106884 115791 116766 121257 154388 160326 161676 175149 231582 233532 240489 242514 320652 347373 350298 463164 480978 485028 525447 694746 700596 721467 961956 1042119 1050894 1389492 1442934 1481531 1576341 2084238 2101788 2885868 2963062 3126357 3152682 4168476 4444593 5926124 6252714 6305364 8889186 9379071 12505428 13333779 17778372 18758142 19259903 26667558 37516284 38519806 40001337 53335116 57779709 77039612 80002674 115559418 120004011 160005348 173339127 231118836 240008022 346678254 360012033 480016044 520017381 693356508 720024066 1040034762 1440048132 1560052143 2080069524 3120104286 4680156429 6240208572 9360312858 18720625716