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64969931664 = 243211219312
BaseRepresentation
bin111100100000100000…
…100111101110010000
320012200212101111022100
4330200200213232100
52031024300303124
645502523040400
74460005210251
oct744040475620
9205625344270
1064969931664
112560a918300
1210712370100
1361852bb961
143204968b28
151a53c1a1c9
hexf20827b90

64969931664 has 135 divisors (see below), whose sum is σ = 199961414107. Its totient is φ = 19677662400.

The previous prime is 64969931641. The next prime is 64969931683. The reversal of 64969931664 is 46613996946.

The square root of 64969931664 is 254892.

It is a perfect power (a square), and thus also a powerful number.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33644779 + ... + 33646709.

Almost surely, 264969931664 is an apocalyptic number.

64969931664 is the 254892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64969931664

64969931664 is an abundant number, since it is smaller than the sum of its proper divisors (134991482443).

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

64969931664 is a wasteful number, since it uses less digits than its factorization.

64969931664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 1947 counting only the distinct ones).

The product of its digits is 45349632, while the sum is 63.

The spelling of 64969931664 in words is "sixty-four billion, nine hundred sixty-nine million, nine hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1931 1936 2178 2904 3862 4356 5793 5808 7724 8712 11586 15448 17379 17424 21241 23172 30896 34758 42482 46344 63723 69516 84964 92688 127446 139032 169928 191169 233651 254892 278064 339856 382338 467302 509784 700953 764676 934604 1019568 1401906 1529352 1869208 2102859 2803812 3058704 3728761 3738416 4205718 5607624 7457522 8411436 11186283 11215248 14915044 16822872 22372566 29830088 33558849 33645744 41016371 44745132 59660176 67117698 82032742 89490264 123049113 134235396 164065484 178980528 246098226 268470792 328130968 369147339 451180081 492196452 536941584 656261936 738294678 902360162 984392904 1353540243 1476589356 1804720324 1968785808 2707080486 2953178712 3609440648 4060620729 5414160972 5906357424 7218881296 8121241458 10828321944 16242482916 21656643888 32484965832 64969931664