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21109156864 = 210193121129
BaseRepresentation
bin10011101010001101…
…000010110000000000
32000111010121021102121
4103222031002300000
5321212421004424
613410350254024
71345050605245
oct235215026000
960433537377
1021109156864
118a52628a94
1241114b7314
131cb5413483
1410437295cc
1583830eee4
hex4ea342c00

21109156864 has 132 divisors (see below), whose sum is σ = 45938364600. Its totient is φ = 9667952640.

The previous prime is 21109156847. The next prime is 21109156907. The reversal of 21109156864 is 46865190112.

It is a self number, because there is not a number n which added to its sum of digits gives 21109156864.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18696652 + ... + 18697780.

Almost surely, 221109156864 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 21109156864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22969182300).

21109156864 is an abundant number, since it is smaller than the sum of its proper divisors (24829207736).

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

21109156864 is a wasteful number, since it uses less digits than its factorization.

21109156864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 21109156864 in words is "twenty-one billion, one hundred nine million, one hundred fifty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 496 512 589 608 961 992 1024 1129 1178 1216 1922 1984 2258 2356 2432 3844 3968 4516 4712 4864 7688 7936 9032 9424 9728 15376 15872 18064 18259 18848 19456 21451 30752 31744 34999 36128 36518 37696 42902 61504 69998 72256 73036 75392 85804 123008 139996 144512 146072 150784 171608 246016 279992 289024 292144 301568 343216 492032 559984 578048 584288 603136 664981 686432 984064 1084969 1119968 1156096 1168576 1329962 1372864 2169938 2239936 2337152 2659924 2745728 4339876 4479872 4674304 5319848 5491456 8679752 8959744 9348608 10639696 10982912 17359504 17919488 18697216 20614411 21279392 21965824 34719008 35838976 41228822 42558784 69438016 82457644 85117568 138876032 164915288 170235136 277752064 329830576 340470272 555504128 659661152 680940544 1111008256 1319322304 2638644608 5277289216 10554578432 21109156864