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641155104 = 25325214273
BaseRepresentation
bin100110001101110…
…100000000100000
31122200110001110100
4212031310000200
52303113430404
6143342102400
721613504602
oct4615640040
91580401410
10641155104
112a9a08357
1215a87aa00
13a2aa8125
146121b172
153b44bd39
hex26374020

641155104 has 72 divisors (see below), whose sum is σ = 1827211932. Its totient is φ = 213258240.

The previous prime is 641155091. The next prime is 641155111. The reversal of 641155104 is 401551146.

641155104 is a `hidden beast` number, since 641 + 1 + 5 + 5 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 608115600 + 33039504 = 24660^2 + 5748^2 .

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

It is a super-2 number, since 2×6411551042 = 822159734770501632, which contains 22 as substring.

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, 147912 + ... + 152184.

Almost surely, 2641155104 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 641155104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913605966).

641155104 is an abundant number, since it is smaller than the sum of its proper divisors (1186056828).

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

641155104 is a wasteful number, since it uses less digits than its factorization.

641155104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4810 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 641155104 is about 25321.0407369050. The cubic root of 641155104 is about 862.2920219391.

The spelling of 641155104 in words is "six hundred forty-one million, one hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 521 1042 1563 2084 3126 4168 4273 4689 6252 8336 8546 9378 12504 12819 16672 17092 18756 25008 25638 34184 37512 38457 50016 51276 68368 75024 76914 102552 136736 150048 153828 205104 307656 410208 615312 1230624 2226233 4452466 6678699 8904932 13357398 17809864 20036097 26714796 35619728 40072194 53429592 71239456 80144388 106859184 160288776 213718368 320577552 641155104