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645332664 = 23353618317
BaseRepresentation
bin100110011101101…
…111111010111000
31122222022021222210
4212131233322320
52310201121124
6144011415120
721664144224
oct4635577270
91588267883
10645332664
11301300a89
121601544a0
13a390b762
14619c7784
153b9c4a29
hex2676feb8

645332664 has 64 divisors (see below), whose sum is σ = 1670919840. Its totient is φ = 207567360.

The previous prime is 645332617. The next prime is 645332671. The reversal of 645332664 is 466233546.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73434 + ... + 81750.

Almost surely, 2645332664 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 645332664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835459920).

645332664 is an abundant number, since it is smaller than the sum of its proper divisors (1025587176).

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

645332664 is a wasteful number, since it uses less digits than its factorization.

645332664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8440 (or 8436 counting only the distinct ones).

The product of its digits is 311040, while the sum is 39.

The square root of 645332664 is about 25403.3986702567. The cubic root of 645332664 is about 864.1607746934.

The spelling of 645332664 in words is "six hundred forty-five million, three hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 53 61 106 122 159 183 212 244 318 366 424 488 636 732 1272 1464 3233 6466 8317 9699 12932 16634 19398 24951 25864 33268 38796 49902 66536 77592 99804 199608 440801 507337 881602 1014674 1322403 1522011 1763204 2029348 2644806 3044022 3526408 4058696 5289612 6088044 10579224 12176088 26888861 53777722 80666583 107555444 161333166 215110888 322666332 645332664