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13153698864 = 2435171271567
BaseRepresentation
bin11000100000000010…
…11000010000110000
31020221201000010200000
430100001120100300
5203414321330424
610013121230000
7643650411165
oct142001302060
936851003600
1013153698864
11563aa13709
122671192300
131318197387
148cad3806c
1551ebb23c9
hex310058430

13153698864 has 240 divisors, whose sum is σ = 40765390848. Its totient is φ = 4091544576.

The previous prime is 13153698799. The next prime is 13153698907. The reversal of 13153698864 is 46889635131.

13153698864 is a `hidden beast` number, since 13 + 1 + 536 + 98 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13153698864.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8393409 + ... + 8394975.

Almost surely, 213153698864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13153698864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20382695424).

13153698864 is an abundant number, since it is smaller than the sum of its proper divisors (27611691984).

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

13153698864 is a wasteful number, since it uses less digits than its factorization.

13153698864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1716 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

It can be divided in two parts, 131536 and 98864, that added together give a square (230400 = 4802).

The spelling of 13153698864 in words is "thirteen billion, one hundred fifty-three million, six hundred ninety-eight thousand, eight hundred sixty-four".