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684457415213 = 11213233471437
BaseRepresentation
bin10011111010111001101…
…01110101001000101101
32102102201000101021122112
421331130311311020231
542203232044241323
61242234013453405
7100310331015155
oct11753465651055
92372630337575
10684457415213
11244305404700
12b079b4a1265
134c70c3a8900
14251b1001765
1512c0e817178
hex9f5cd7522d

684457415213 has 18 divisors (see below), whose sum is σ = 814661329482. Its totient is φ = 574369841760.

The previous prime is 684457415203. The next prime is 684457415251. The reversal of 684457415213 is 312514754486.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 16442163529 + 668015251684 = 128227^2 + 817322^2 .

It is not a de Polignac number, because 684457415213 - 24 = 684457415197 is a prime.

It is a super-2 number, since 2×6844574152132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684457415203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16715270 + ... + 16756167.

It is an arithmetic number, because the mean of its divisors is an integer number (45258962749).

Almost surely, 2684457415213 is an apocalyptic number.

It is an amenable number.

684457415213 is a deficient number, since it is larger than the sum of its proper divisors (130203914269).

684457415213 is a wasteful number, since it uses less digits than its factorization.

684457415213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33471485 (or 33471461 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 50.

The spelling of 684457415213 in words is "six hundred eighty-four billion, four hundred fifty-seven million, four hundred fifteen thousand, two hundred thirteen".

Divisors: 1 11 13 121 143 169 1573 1859 20449 33471437 368185807 435128681 4050043877 4786415491 5656672853 52650570401 62223401383 684457415213