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21717418404 = 223113147112921
BaseRepresentation
bin10100001110011101…
…011000000110100100
32002001112011011101210
4110032131120012210
5323434124342104
613550555351420
71366115003433
oct241635300644
962045134353
1021717418404
119234a09980
124261152570
132081442546
1410a042311a
15871910989
hex50e7581a4

21717418404 has 96 divisors (see below), whose sum is σ = 58278592512. Its totient is φ = 6233184000.

The previous prime is 21717418379. The next prime is 21717418427. The reversal of 21717418404 is 40481471712.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135864 + ... + 248784.

It is an arithmetic number, because the mean of its divisors is an integer number (607068672).

Almost surely, 221717418404 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 21717418404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29139296256).

21717418404 is an abundant number, since it is smaller than the sum of its proper divisors (36561174108).

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

21717418404 is a wasteful number, since it uses less digits than its factorization.

21717418404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113017 (or 113015 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The spelling of 21717418404 in words is "twenty-one billion, seven hundred seventeen million, four hundred eighteen thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 47 62 66 93 94 124 132 141 186 188 282 341 372 517 564 682 1023 1034 1364 1457 1551 2046 2068 2914 3102 4092 4371 5828 6204 8742 16027 17484 32054 48081 64108 96162 112921 192324 225842 338763 451684 677526 1242131 1355052 2484262 3500551 3726393 4968524 5307287 7001102 7452786 10501653 10614574 14002204 14905572 15921861 21003306 21229148 31843722 38506061 42006612 58380157 63687444 77012122 115518183 116760314 154024244 164525897 175140471 231036366 233520628 329051794 350280942 462072732 493577691 658103588 700561884 987155382 1809784867 1974310764 3619569734 5429354601 7239139468 10858709202 21717418404