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641077056 = 26322274903
BaseRepresentation
bin100110001101100…
…000111101000000
31122200022002101200
4212031200331000
52303103431211
6143340301200
721613031214
oct4615407500
91580262350
10641077056
112a9964754
1215a841800
13a2a7b749
14611da944
153b433b56
hex26360f40

641077056 has 84 divisors (see below), whose sum is σ = 1846002912. Its totient is φ = 212707584.

The previous prime is 641077033. The next prime is 641077061. The reversal of 641077056 is 650770146.

641077056 is a `hidden beast` number, since 641 + 0 + 7 + 7 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 641077056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128301 + ... + 133203.

Almost surely, 2641077056 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 641077056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923001456).

641077056 is an abundant number, since it is smaller than the sum of its proper divisors (1204925856).

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

641077056 is a wasteful number, since it uses less digits than its factorization.

641077056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5148 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 641077056 is about 25319.4995211201. The cubic root of 641077056 is about 862.2570314986.

The spelling of 641077056 in words is "six hundred forty-one million, seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 227 288 454 576 681 908 1362 1816 2043 2724 3632 4086 4903 5448 7264 8172 9806 10896 14528 14709 16344 19612 21792 29418 32688 39224 43584 44127 58836 65376 78448 88254 117672 130752 156896 176508 235344 313792 353016 470688 706032 941376 1112981 1412064 2225962 2824128 3338943 4451924 6677886 8903848 10016829 13355772 17807696 20033658 26711544 35615392 40067316 53423088 71230784 80134632 106846176 160269264 213692352 320538528 641077056