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135477935190 = 232513115793107
BaseRepresentation
bin111111000101100011…
…1010011110001010110
3110221200200122012000100
41332023013103301112
54204424322411230
6142123202154530
712534161306613
oct1761307236126
9427620565010
10135477935190
11525018429a4
122230b352a46
13ca10a612c0
1467b2c1b50a
1537cdc25660
hex1f8b1d3c56

135477935190 has 48 divisors (see below), whose sum is σ = 379338221808. Its totient is φ = 33348414528.

The previous prime is 135477935171. The next prime is 135477935191. The reversal of 135477935190 is 91539774531.

135477935190 is a `hidden beast` number, since 1 + 3 + 54 + 7 + 79 + 3 + 519 + 0 = 666.

It is a super-2 number, since 2×1354779351902 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135477935191) 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, 57895384 + ... + 57897723.

It is an arithmetic number, because the mean of its divisors is an integer number (7902879621).

Almost surely, 2135477935190 is an apocalyptic number.

135477935190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135477935190 is an abundant number, since it is smaller than the sum of its proper divisors (243860286618).

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

135477935190 is a wasteful number, since it uses less digits than its factorization.

135477935190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115793133 (or 115793130 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 135477935190 in words is "one hundred thirty-five billion, four hundred seventy-seven million, nine hundred thirty-five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 115793107 231586214 347379321 578965535 694758642 1042137963 1157931070 1505310391 1736896605 2084275926 3010620782 3473793210 4515931173 5210689815 7526551955 9031862346 10421379630 13547793519 15053103910 22579655865 27095587038 45159311730 67738967595 135477935190