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5258415816 = 2332201736209
BaseRepresentation
bin1001110010110110…
…10000111011001000
3111120110122012102100
410321123100323020
541232123301231
62225442033400
7244210540233
oct47133207310
914513565370
105258415816
1122592696a5
121029048860
1365a559a64
1437c52c41a
1520b99e1e6
hex1396d0ec8

5258415816 has 48 divisors (see below), whose sum is σ = 14248997100. Its totient is φ = 1751887872.

The previous prime is 5258415803. The next prime is 5258415857. The reversal of 5258415816 is 6185148525.

5258415816 is a `hidden beast` number, since 5 + 2 + 584 + 1 + 58 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5257700100 + 715716 = 72510^2 + 846^2 .

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, 127120 + ... + 163328.

Almost surely, 25258415816 is an apocalyptic number.

It is an amenable number.

5258415816 is an abundant number, since it is smaller than the sum of its proper divisors (8990581284).

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

5258415816 is a wasteful number, since it uses less digits than its factorization.

5258415816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38238 (or 38231 counting only the distinct ones).

The product of its digits is 384000, while the sum is 45.

The square root of 5258415816 is about 72514.9351237385. The cubic root of 5258415816 is about 1738.9415123881.

The spelling of 5258415816 in words is "five billion, two hundred fifty-eight million, four hundred fifteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2017 4034 6051 8068 12102 16136 18153 24204 36209 36306 48408 72418 72612 108627 144836 145224 217254 289672 325881 434508 651762 869016 1303524 2607048 73033553 146067106 219100659 292134212 438201318 584268424 657301977 876402636 1314603954 1752805272 2629207908 5258415816