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641402016 = 25357111701
BaseRepresentation
bin100110001110110…
…000010010100000
31122200220121011020
4212032300102200
52303144331031
6143351245440
721615553503
oct4616602240
91580817136
10641402016
112aa066912
1215a979880
13a2b63628
146128313a
153b49a096
hex263b04a0

641402016 has 48 divisors (see below), whose sum is σ = 1686773088. Its totient is φ = 213408000.

The previous prime is 641402009. The next prime is 641402023. The reversal of 641402016 is 610204146.

It is an interprime number because it is at equal distance from previous prime (641402009) and next prime (641402023).

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

It is a super-2 number, since 2×6414020162 = 822793092257728512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48966 + ... + 60666.

It is an arithmetic number, because the mean of its divisors is an integer number (35141106).

Almost surely, 2641402016 is an apocalyptic number.

It is an amenable number.

641402016 is an abundant number, since it is smaller than the sum of its proper divisors (1045371072).

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

641402016 is a wasteful number, since it uses less digits than its factorization.

641402016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12285 (or 12277 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 641402016 is about 25325.9158965673. The cubic root of 641402016 is about 862.4026987064.

The spelling of 641402016 in words is "six hundred forty-one million, four hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 571 1142 1713 2284 3426 4568 6852 9136 11701 13704 18272 23402 27408 35103 46804 54816 70206 93608 140412 187216 280824 374432 561648 1123296 6681271 13362542 20043813 26725084 40087626 53450168 80175252 106900336 160350504 213800672 320701008 641402016