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640619944942752 = 25329672300284187
BaseRepresentation
bin1001000110101000111111010…
…0010000010001110010100000
310010000020200001102121022102100
42101222033310100101302200
51132431404121401132002
610150252423452250400
7251636156302356105
oct22152176420216240
93100220042538370
10640619944942752
11176137435aa1275
125ba2452b470a00
132165c280ba0258
14b42a256860aac
154e0dedcc4a11c
hex246a3f4411ca0

640619944942752 has 72 divisors (see below), whose sum is σ = 1823646901972896. Its totient is φ = 213319154272896.

The previous prime is 640619944942727. The next prime is 640619944942753. The reversal of 640619944942752 is 257249449916046.

640619944942752 is a `hidden beast` number, since 6 + 4 + 0 + 6 + 1 + 99 + 449 + 42 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (640619944942753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1149863598 + ... + 1150420589.

It is an arithmetic number, because the mean of its divisors is an integer number (25328429194068).

Almost surely, 2640619944942752 is an apocalyptic number.

It is an amenable number.

640619944942752 is an abundant number, since it is smaller than the sum of its proper divisors (1183026957030144).

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

640619944942752 is a wasteful number, since it uses less digits than its factorization.

640619944942752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300285170 (or 2300285159 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 640619944942752 in words is "six hundred forty trillion, six hundred nineteen billion, nine hundred forty-four million, nine hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 967 1934 2901 3868 5802 7736 8703 11604 15472 17406 23208 30944 34812 46416 69624 92832 139248 278496 2300284187 4600568374 6900852561 9201136748 13801705122 18402273496 20702557683 27603410244 36804546992 41405115366 55206820488 73609093984 82810230732 110413640976 165620461464 220827281952 331240922928 662481845856 2224374808829 4448749617658 6673124426487 8897499235316 13346248852974 17794998470632 20019373279461 26692497705948 35589996941264 40038746558922 53384995411896 71179993882528 80077493117844 106769990823792 160154986235688 213539981647584 320309972471376 640619944942752