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13142653362 = 232193106451
BaseRepresentation
bin11000011110101110…
…01111100110110010
31020220221012222002100
430033113033212302
5203404004401422
610012044401230
7643454465436
oct141727174662
936827188070
1013142653362
115634759aa3
122669546216
131315aca987
148c96a09c6
1551dc2e7ac
hex30f5cf9b2

13142653362 has 48 divisors (see below), whose sum is σ = 30057786720. Its totient is φ = 4150272600.

The previous prime is 13142653351. The next prime is 13142653387. The reversal of 13142653362 is 26335624131.

13142653362 is a `hidden beast` number, since 1 + 31 + 4 + 265 + 3 + 362 = 666.

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, 70237 + ... + 176687.

It is an arithmetic number, because the mean of its divisors is an integer number (626203890).

Almost surely, 213142653362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13142653362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15028893360).

13142653362 is an abundant number, since it is smaller than the sum of its proper divisors (16915133358).

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

13142653362 is a wasteful number, since it uses less digits than its factorization.

13142653362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106516 (or 106475 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The spelling of 13142653362 in words is "thirteen billion, one hundred forty-two million, six hundred fifty-three thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 6498 6859 13718 20577 41154 61731 106451 123462 212902 319353 638706 958059 1916118 2022569 4045138 6067707 12135414 18203121 36406242 38428811 76857622 115286433 230572866 345859299 691718598 730147409 1460294818 2190442227 4380884454 6571326681 13142653362