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3115803946896 = 24321470972
BaseRepresentation
bin101101010101110100011…
…000110010111110010000
3102000212102201211022012100
4231111310120302332100
5402022131302300041
610343214112000400
7441052345364364
oct55256430627620
912025381738170
103115803946896
11aa1450110013
12423a44530100
13197a855c0bc4
14aab3cc532a4
15560b11496b6
hex2d574632f90

3115803946896 has 45 divisors (see below), whose sum is σ = 8719982826321. Its totient is φ = 1038594254976.

The previous prime is 3115803946867. The next prime is 3115803946933. The reversal of 3115803946896 is 6986493085113.

The square root of 3115803946896 is 1765164.

It is a perfect power (a square), and thus also a powerful number.

3115803946896 is a `hidden beast` number, since 3 + 1 + 1 + 5 + 80 + 3 + 9 + 468 + 96 = 666.

3115803946896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2953929690000 + 161874256896 = 1718700^2 + 402336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21108420 + ... + 21255516.

Almost surely, 23115803946896 is an apocalyptic number.

3115803946896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3115803946896 is the 1765164-th square number.

It is an amenable number.

3115803946896 is an abundant number, since it is smaller than the sum of its proper divisors (5604178879425).

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

3115803946896 is an frugal number, since it uses more digits than its factorization.

3115803946896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294208 (or 147102 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 3115803946896 in words is "three trillion, one hundred fifteen billion, eight hundred three million, nine hundred forty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 147097 294194 441291 588388 882582 1176776 1323873 1765164 2353552 2647746 3530328 5295492 7060656 10590984 21181968 21637527409 43275054818 64912582227 86550109636 129825164454 173100219272 194737746681 259650328908 346200438544 389475493362 519300657816 778950986724 1038601315632 1557901973448 3115803946896