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135412015525 = 52101130141221
BaseRepresentation
bin111111000011100101…
…1110110000110100101
3110221112002121010020021
41332013023312012211
54204310433444100
6142112445235141
712532431066163
oct1760713660645
9427462533207
10135412015525
1152478609536
12222b1262ab1
13ca001c0a97
1467a817c233
1537c8053a1a
hex1f872f61a5

135412015525 has 24 divisors (see below), whose sum is σ = 169707841128. Its totient is φ = 107172000000.

The previous prime is 135412015493. The next prime is 135412015639. The reversal of 135412015525 is 525510214531.

It can be written as a sum of positive squares in 12 ways, for example, as 69737190084 + 65674825441 = 264078^2 + 256271^2 .

It is not a de Polignac number, because 135412015525 - 25 = 135412015493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3264415 + ... + 3305635.

It is an arithmetic number, because the mean of its divisors is an integer number (7071160047).

Almost surely, 2135412015525 is an apocalyptic number.

It is an amenable number.

135412015525 is a deficient number, since it is larger than the sum of its proper divisors (34295825603).

135412015525 is a wasteful number, since it uses less digits than its factorization.

135412015525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42633 (or 42628 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 34.

The spelling of 135412015525 in words is "one hundred thirty-five billion, four hundred twelve million, fifteen thousand, five hundred twenty-five".

Divisors: 1 5 25 101 505 1301 2525 6505 32525 41221 131401 206105 657005 1030525 3285025 4163321 20816605 53628521 104083025 268142605 1340713025 5416480621 27082403105 135412015525