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645140064 = 25323292183
BaseRepresentation
bin100110011101000…
…000111001100000
31122221221111210110
4212131000321200
52310123440224
6144003331320
721662412552
oct4635007140
91587844713
10645140064
1130118a308
12160080b40
13a3871baa
14619774d2
153b987929
hex26740e60

645140064 has 48 divisors (see below), whose sum is σ = 1767128832. Its totient is φ = 205696128.

The previous prime is 645140059. The next prime is 645140071. The reversal of 645140064 is 460041546.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143884 + ... + 148299.

It is an arithmetic number, because the mean of its divisors is an integer number (36815184).

Almost surely, 2645140064 is an apocalyptic number.

It is an amenable number.

645140064 is an abundant number, since it is smaller than the sum of its proper divisors (1121988768).

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

645140064 is a wasteful number, since it uses less digits than its factorization.

645140064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292219 (or 292211 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 645140064 is about 25399.6075560234. The cubic root of 645140064 is about 864.0747963368.

The spelling of 645140064 in words is "six hundred forty-five million, one hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 292183 584366 876549 1168732 1753098 2337464 3506196 4674928 6720209 7012392 9349856 13440418 14024784 20160627 26880836 28049568 40321254 53761672 80642508 107523344 161285016 215046688 322570032 645140064