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413640557838 = 232103257868121
BaseRepresentation
bin1100000010011101110…
…01100000010100001110
31110112200022200111121200
412001032321200110032
523234113440322323
6514005052410330
741612253505134
oct6011671402416
91415608614550
10413640557838
1114a4733473a2
12681bb4769a6
1330010639341
141603da31754
15ab5e1ca443
hex604ee6050e

413640557838 has 48 divisors (see below), whose sum is σ = 908444530656. Its totient is φ = 136010096640.

The previous prime is 413640557821. The next prime is 413640557839. The reversal of 413640557838 is 838755046314.

413640557838 is a `hidden beast` number, since 4 + 1 + 3 + 6 + 4 + 0 + 557 + 83 + 8 = 666.

It is a super-2 number, since 2×4136405578382 (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 (413640557839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42418 + ... + 910538.

It is an arithmetic number, because the mean of its divisors is an integer number (18925927722).

Almost surely, 2413640557838 is an apocalyptic number.

413640557838 is an abundant number, since it is smaller than the sum of its proper divisors (494803972818).

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

413640557838 is a wasteful number, since it uses less digits than its factorization.

413640557838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868489 (or 868486 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 413640557838 in words is "four hundred thirteen billion, six hundred forty million, five hundred fifty-seven thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 103 206 257 309 514 618 771 927 1542 1854 2313 4626 26471 52942 79413 158826 238239 476478 868121 1736242 2604363 5208726 7813089 15626178 89416463 178832926 223107097 268249389 446214194 536498778 669321291 804748167 1338642582 1609496334 2007963873 4015927746 22980030991 45960061982 68940092973 137880185946 206820278919 413640557838