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21506898816 = 273313478697
BaseRepresentation
bin10100000001111010…
…010011101110000000
32001111212000122211000
4110001322103232000
5323021231230231
613514035252000
71360650423624
oct240172235600
961455018730
1021506898816
1191370a1447
12420274a000
132049944040
1410804a3184
1585d1c96e6
hex501e93b80

21506898816 has 128 divisors (see below), whose sum is σ = 68358074400. Its totient is φ = 6617493504.

The previous prime is 21506898797. The next prime is 21506898839. The reversal of 21506898816 is 61889860512.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×215068988164 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 194421 + ... + 284276.

Almost surely, 221506898816 is an apocalyptic number.

21506898816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21506898816 is an abundant number, since it is smaller than the sum of its proper divisors (46851175584).

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

21506898816 is a wasteful number, since it uses less digits than its factorization.

21506898816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478733 (or 478715 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 21506898816 in words is "twenty-one billion, five hundred six million, eight hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928 478697 957394 1436091 1914788 2872182 3829576 4308273 5744364 6223061 7659152 8616546 11488728 12446122 12924819 15318304 17233092 18669183 22977456 24892244 25849638 30636608 34466184 37338366 45954912 49784488 51699276 56007549 61273216 68932368 74676732 91909824 99568976 103398552 112015098 137864736 149353464 168022647 183819648 199137952 206797104 224030196 275729472 298706928 336045294 398275904 413594208 448060392 551458944 597413856 672090588 796551808 827188416 896120784 1194827712 1344181176 1654376832 1792241568 2389655424 2688362352 3584483136 5376724704 7168966272 10753449408 21506898816