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406135616006136 = 23377330319722047
BaseRepresentation
bin101110001011000001101000…
…1000111110110011111111000
31222021000012000101020120210010
41130112003101013312133320
5411213111220144144021
63555440043135421520
7151355221113320562
oct13426032107663770
91867005011216703
10406135616006136
11108453169335765
12396739780848a0
1314580569122113
1472410d6716332
1531e47bceb1976
hex17160d11f67f8

406135616006136 has 64 divisors (see below), whose sum is σ = 1016687484518400. Its totient is φ = 135198758118528.

The previous prime is 406135616006101. The next prime is 406135616006201. The reversal of 406135616006136 is 631600616531604.

It is a super-2 number, since 2×4061356160061362 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562117065 + ... + 562839111.

It is an arithmetic number, because the mean of its divisors is an integer number (15885741945600).

Almost surely, 2406135616006136 is an apocalyptic number.

It is an amenable number.

406135616006136 is an abundant number, since it is smaller than the sum of its proper divisors (610551868512264).

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

406135616006136 is a wasteful number, since it uses less digits than its factorization.

406135616006136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753148 (or 753144 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 406135616006136 in words is "four hundred six trillion, one hundred thirty-five billion, six hundred sixteen million, six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 773 1546 2319 3092 4638 6184 9276 18552 30319 60638 90957 121276 181914 242552 363828 722047 727656 1444094 2166141 2888188 4332282 5776376 8664564 17329128 23436587 46873174 70309761 93746348 140619522 187492696 281239044 558142331 562478088 1116284662 1674426993 2232569324 3348853986 4465138648 6697707972 13395415944 21891742993 43783485986 65675228979 87566971972 131350457958 175133943944 262700915916 525401831832 16922317333589 33844634667178 50766952000767 67689269334356 101533904001534 135378538668712 203067808003068 406135616006136