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4431680604 = 2232139469403
BaseRepresentation
bin1000010000010011…
…00001010001011100
3102102211222200220200
410020021201101130
533034002234404
62011430143500
7214551443421
oct41011412134
912384880820
104431680604
11197462825a
12a381b1b90
135581a5c20
14300803d48
151ae0e5839
hex10826145c

4431680604 has 36 divisors (see below), whose sum is σ = 12064020696. Its totient is φ = 1363593888.

The previous prime is 4431680579. The next prime is 4431680633. The reversal of 4431680604 is 4060861344.

4431680604 is a `hidden beast` number, since 4 + 43 + 1 + 6 + 8 + 0 + 604 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4734234 + ... + 4735169.

It is an arithmetic number, because the mean of its divisors is an integer number (335111686).

Almost surely, 24431680604 is an apocalyptic number.

It is an amenable number.

4431680604 is an abundant number, since it is smaller than the sum of its proper divisors (7632340092).

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

4431680604 is a wasteful number, since it uses less digits than its factorization.

4431680604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9469426 (or 9469421 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4431680604 is about 66570.8690344358. The cubic root of 4431680604 is about 1642.5659569157.

It can be divided in two parts, 4431 and 680604, that added together give a triangular number (685035 = T1170).

The spelling of 4431680604 in words is "four billion, four hundred thirty-one million, six hundred eighty thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 9469403 18938806 28408209 37877612 56816418 85224627 113632836 123102239 170449254 246204478 340898508 369306717 492408956 738613434 1107920151 1477226868 2215840302 4431680604