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641961264 = 24371999601
BaseRepresentation
bin100110010000111…
…000110100110000
31122201222000022010
4212100320310300
52303320230024
6143411242520
721623403120
oct4620706460
91581860263
10641961264
112aa408aaa
1215aba9440
13a2ccb049
146138ac80
153b55ab29
hex26438d30

641961264 has 80 divisors (see below), whose sum is σ = 1905036800. Its totient is φ = 182476800.

The previous prime is 641961263. The next prime is 641961269. The reversal of 641961264 is 462169146.

It is a super-2 number, since 2×6419612642 = 824228528952955392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (641961263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62064 + ... + 71664.

It is an arithmetic number, because the mean of its divisors is an integer number (23812960).

Almost surely, 2641961264 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 641961264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952518400).

641961264 is an abundant number, since it is smaller than the sum of its proper divisors (1263075536).

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

641961264 is a wasteful number, since it uses less digits than its factorization.

641961264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9818 (or 9812 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 641961264 is about 25336.9545131217. The cubic root of 641961264 is about 862.6532731596.

The spelling of 641961264 in words is "six hundred forty-one million, nine hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 199 336 398 597 796 1194 1393 1592 2388 2786 3184 4179 4776 5572 8358 9552 9601 11144 16716 19202 22288 28803 33432 38404 57606 66864 67207 76808 115212 134414 153616 201621 230424 268828 403242 460848 537656 806484 1075312 1612968 1910599 3225936 3821198 5731797 7642396 11463594 13374193 15284792 22927188 26748386 30569584 40122579 45854376 53496772 80245158 91708752 106993544 160490316 213987088 320980632 641961264