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641060864 = 212532953
BaseRepresentation
bin100110001101011…
…101000000000000
31122200021021011222
4212031131000000
52303102421424
6143340054212
721612633053
oct4615350000
91580237158
10641060864
112a9953574
1215a834368
13a2a74272
14611d4a9a
153b42de5e
hex2635d000

641060864 has 52 divisors (see below), whose sum is σ = 1306595556. Its totient is φ = 314376192.

The previous prime is 641060843. The next prime is 641060897. The reversal of 641060864 is 468060146.

It can be written as a sum of positive squares in 2 ways, for example, as 493195264 + 147865600 = 22208^2 + 12160^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 215612 + ... + 218564.

Almost surely, 2641060864 is an apocalyptic number.

641060864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641060864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653297778).

641060864 is an abundant number, since it is smaller than the sum of its proper divisors (665534692).

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

641060864 is an equidigital number, since it uses as much as digits as its factorization.

641060864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 641060864 is about 25319.1797655453. The cubic root of 641060864 is about 862.2497719535.

The spelling of 641060864 in words is "six hundred forty-one million, sixty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1696 2048 2953 3392 4096 5906 6784 11812 13568 23624 27136 47248 54272 94496 108544 156509 188992 217088 313018 377984 626036 755968 1252072 1511936 2504144 3023872 5008288 6047744 10016576 12095488 20033152 40066304 80132608 160265216 320530432 641060864