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135361047760434 = 23250914774181157
BaseRepresentation
bin11110110001110000110011…
…001010110000111000110010
3122202021101112011011222210100
4132301300303022300320302
5120220223411211313214
61155520001253013230
740340340643614156
oct3661606312607062
9582241464158710
10135361047760434
113a148330672a61
1213221a65024216
135a6b651cc5302
14255d71c75b066
15109b0b8b94309
hex7b1c332b0e32

135361047760434 has 24 divisors (see below), whose sum is σ = 293858463232620. Its totient is φ = 45031704163488.

The previous prime is 135361047760427. The next prime is 135361047760487. The reversal of 135361047760434 is 434067740163531.

135361047760434 is a `hidden beast` number, since 1 + 3 + 5 + 36 + 104 + 7 + 76 + 0 + 434 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120487877029809 + 14873170730625 = 10976697^2 + 3856575^2 .

It is a super-2 number, since 2×1353610477604342 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7387081417 + ... + 7387099740.

Almost surely, 2135361047760434 is an apocalyptic number.

135361047760434 is an abundant number, since it is smaller than the sum of its proper divisors (158497415472186).

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

135361047760434 is a wasteful number, since it uses less digits than its factorization.

135361047760434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14774181674 (or 14774181671 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 135361047760434 in words is "one hundred thirty-five trillion, three hundred sixty-one billion, forty-seven million, seven hundred sixty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 509 1018 1527 3054 4581 9162 14774181157 29548362314 44322543471 88645086942 132967630413 265935260826 7520058208913 15040116417826 22560174626739 45120349253478 67680523880217 135361047760434