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52521000664 = 231123163397401
BaseRepresentation
bin110000111010011111…
…101101111011011000
312000120021112021101211
4300322133231323120
51330030334010124
640043335152504
73536343065626
oct607237557330
9160507467354
1052521000664
1120301810180
12a219215734
134c50142bb2
14278348a516
151575d6ce94
hexc3a7eded8

52521000664 has 128 divisors (see below), whose sum is σ = 113353966080. Its totient is φ = 22581504000.

The previous prime is 52521000661. The next prime is 52521000673. The reversal of 52521000664 is 46600012525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52521000661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130974864 + ... + 130975264.

It is an arithmetic number, because the mean of its divisors is an integer number (885577860).

Almost surely, 252521000664 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 52521000664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56676983040).

52521000664 is an abundant number, since it is smaller than the sum of its proper divisors (60832965416).

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

52521000664 is a wasteful number, since it uses less digits than its factorization.

52521000664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 52521000664 in words is "fifty-two billion, five hundred twenty-one million, six hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 4 8 11 22 23 44 46 88 92 163 184 253 326 397 401 506 652 794 802 1012 1304 1588 1604 1793 2024 3176 3208 3586 3749 4367 4411 7172 7498 8734 8822 9131 9223 14344 14996 17468 17644 18262 18446 29992 34936 35288 36524 36892 41239 64711 65363 73048 73784 82478 100441 101453 129422 130726 159197 164956 200882 202906 258844 261452 318394 329912 401764 405812 517688 522904 636788 711821 718993 803528 811624 1273576 1423642 1437986 1488353 1503349 1751167 2847284 2875972 2976706 3006698 3502334 3661531 5694568 5751944 5953412 6013396 7004668 7323062 11906824 12026792 14009336 14646124 16371883 16536839 25949111 29292248 32743766 33073678 40276841 51898222 65487532 66147356 80553682 103796444 130975064 132294712 161107364 207592888 285440221 322214728 570880442 596829553 1141760884 1193659106 2283521768 2387318212 4774636424 6565125083 13130250166 26260500332 52521000664