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135572094408069 = 32111369415095031
BaseRepresentation
bin11110110100110101010110…
…100001110101010110000101
3122210000120021100200112001100
4132310311112201311112011
5120232203122132024234
61200200543235050313
740361521611540024
oct3664652641652605
9583016240615040
10135572094408069
113a219890a33010
1213256944140999
135a85516ac2377
142569a1d9b28bb
1510a181bd1e399
hex7b4d56875585

135572094408069 has 12 divisors (see below), whose sum is σ = 213628754824992. Its totient is φ = 82164905701800.

The previous prime is 135572094407989. The next prime is 135572094408109. The reversal of 135572094408069 is 960804490275531.

135572094408069 is a `hidden beast` number, since 1 + 3 + 5 + 57 + 2 + 0 + 9 + 440 + 80 + 69 = 666.

It is not a de Polignac number, because 135572094408069 - 212 = 135572094403973 is a prime.

It is a super-3 number, since 3×1355720944080693 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 135572094407997 and 135572094408015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135572094408269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 684707547417 + ... + 684707547614.

It is an arithmetic number, because the mean of its divisors is an integer number (17802396235416).

It is a 1-persistent number, because it is pandigital, but 2⋅135572094408069 = 271144188816138 is not.

Almost surely, 2135572094408069 is an apocalyptic number.

It is an amenable number.

135572094408069 is a deficient number, since it is larger than the sum of its proper divisors (78056660416923).

135572094408069 is a wasteful number, since it uses less digits than its factorization.

135572094408069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369415095048 (or 1369415095045 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 135572094408069 in words is "one hundred thirty-five trillion, five hundred seventy-two billion, ninety-four million, four hundred eight thousand, sixty-nine".

Divisors: 1 3 9 11 33 99 1369415095031 4108245285093 12324735855279 15063566045341 45190698136023 135572094408069