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3690679104 = 263277312539
BaseRepresentation
bin1101101111111011…
…0100101101000000
3100112012122220221200
43123332310231000
530024303212404
61410120021200
7160313153250
oct33376645500
910465586850
103690679104
111624323922
12870001800
1346a80c1b8
14270235960
15169024839
hexdbfb4b40

3690679104 has 168 divisors, whose sum is σ = 12256495680. Its totient is φ = 1039951872.

The previous prime is 3690679093. The next prime is 3690679117. The reversal of 3690679104 is 4019760963.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×36906791042 = 27242224497404485632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3690679104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288067 + ... + 300605.

Almost surely, 23690679104 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 3690679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128247840).

3690679104 is an abundant number, since it is smaller than the sum of its proper divisors (8565816576).

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

3690679104 is a wasteful number, since it uses less digits than its factorization.

3690679104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12637 (or 12624 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3690679104 is about 60750.9596961233. The cubic root of 3690679104 is about 1545.3805026311.

The spelling of 3690679104 in words is "three billion, six hundred ninety million, six hundred seventy-nine thousand, one hundred four".