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645173664 = 25317537459
BaseRepresentation
bin100110011101001…
…001000110100000
31122222000012212220
4212131021012200
52310131024124
6144004151040
721662612532
oct4635110640
91588005786
10645173664
11301202583
12160098480
13a3884285
1461985852
153b992879
hex267491a0

645173664 has 96 divisors (see below), whose sum is σ = 1827282240. Its totient is φ = 198561792.

The previous prime is 645173609. The next prime is 645173687. The reversal of 645173664 is 466371546.

It is a tau number, because it is divible by the number of its divisors (96).

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, 82767 + ... + 90225.

It is an arithmetic number, because the mean of its divisors is an integer number (19034190).

Almost surely, 2645173664 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 645173664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913641120).

645173664 is an abundant number, since it is smaller than the sum of its proper divisors (1182108576).

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

645173664 is a wasteful number, since it uses less digits than its factorization.

645173664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7542 (or 7534 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 645173664 is about 25400.2689749538. The cubic root of 645173664 is about 864.0897969084.

The spelling of 645173664 in words is "six hundred forty-five million, one hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 68 96 102 106 136 159 204 212 272 318 408 424 544 636 816 848 901 1272 1632 1696 1802 2544 2703 3604 5088 5406 7208 7459 10812 14416 14918 21624 22377 28832 29836 43248 44754 59672 86496 89508 119344 126803 179016 238688 253606 358032 380409 395327 507212 716064 760818 790654 1014424 1185981 1521636 1581308 2028848 2371962 3043272 3162616 4057696 4743924 6086544 6325232 6720559 9487848 12173088 12650464 13441118 18975696 20161677 26882236 37951392 40323354 53764472 80646708 107528944 161293416 215057888 322586832 645173664