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21807840912 = 24311134996367
BaseRepresentation
bin10100010011110110…
…010011111010010000
32002021211022002202120
4110103312103322100
5324130301402122
614003545414240
71401263406054
oct242366237220
962254262676
1021807840912
119280a59720
12428749a380
1320970b18a0
1410ac43dc64
1587982275c
hex513d93e90

21807840912 has 160 divisors (see below), whose sum is σ = 66329088000. Its totient is φ = 6086914560.

The previous prime is 21807840871. The next prime is 21807840983. The reversal of 21807840912 is 21904870812.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3421953 + ... + 3428319.

It is an arithmetic number, because the mean of its divisors is an integer number (414556800).

Almost surely, 221807840912 is an apocalyptic number.

21807840912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21807840912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33164544000).

21807840912 is an abundant number, since it is smaller than the sum of its proper divisors (44521247088).

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

21807840912 is a wasteful number, since it uses less digits than its factorization.

21807840912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6901 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 21807840912 in words is "twenty-one billion, eight hundred seven million, eight hundred forty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 499 528 572 624 858 998 1144 1497 1716 1996 2288 2994 3432 3992 5489 5988 6367 6487 6864 7984 10978 11976 12734 12974 16467 19101 19461 21956 23952 25468 25948 32934 38202 38922 43912 50936 51896 65868 70037 71357 76404 77844 82771 87824 101872 103792 131736 140074 142714 152808 155688 165542 210111 214071 248313 263472 280148 285428 305616 311376 331084 420222 428142 496626 560296 570856 662168 840444 856284 910481 993252 1120592 1141712 1324336 1680888 1712568 1820962 1986504 2731443 3177133 3361776 3425136 3641924 3973008 5462886 6354266 7283848 9531399 10925772 12708532 14567696 19062798 21851544 25417064 34948463 38125596 41302729 43703088 50834128 69896926 76251192 82605458 104845389 123908187 139793852 152502384 165210916 209690778 247816374 279587704 330421832 419381556 454330019 495632748 559175408 660843664 838763112 908660038 991265496 1362990057 1677526224 1817320076 1982530992 2725980114 3634640152 5451960228 7269280304 10903920456 21807840912