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3641285680 = 245373122027
BaseRepresentation
bin1101100100001001…
…1001110000110000
3100101202201110220121
43121002121300300
524424132120210
61401153220024
7156143263144
oct33102316060
910352643817
103641285680
1115a945790a
12857561614
13460506c16
14267859224
15164a196da
hexd9099c30

3641285680 has 40 divisors (see below), whose sum is σ = 8488755792. Its totient is φ = 1452597504.

The previous prime is 3641285657. The next prime is 3641285689. The reversal of 3641285680 is 865821463.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×36412856802 = 26517922806746124800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3641285689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31174 + ... + 90853.

Almost surely, 23641285680 is an apocalyptic number.

It is an amenable number.

3641285680 is an abundant number, since it is smaller than the sum of its proper divisors (4847470112).

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

3641285680 is a wasteful number, since it uses less digits than its factorization.

3641285680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122413 (or 122407 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 3641285680 is about 60343.0665445501. The cubic root of 3641285680 is about 1538.4554255501.

The spelling of 3641285680 in words is "three billion, six hundred forty-one million, two hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 373 746 1492 1865 2984 3730 5968 7460 14920 29840 122027 244054 488108 610135 976216 1220270 1952432 2440540 4881080 9762160 45516071 91032142 182064284 227580355 364128568 455160710 728257136 910321420 1820642840 3641285680