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13224940092 = 22337136012239
BaseRepresentation
bin11000101000100010…
…01001001000111100
31021010200001120021000
430110101021020330
5204041041040332
610024144210300
7645504064440
oct142421111074
937120046230
1013224940092
115677152261
122691009990
131329b7bb50
148d65a0820
15526085b7c
hex31444923c

13224940092 has 192 divisors, whose sum is σ = 42288332800. Its totient is φ = 3480537600.

The previous prime is 13224940087. The next prime is 13224940109. The reversal of 13224940092 is 29004942231.

13224940092 is a `hidden beast` number, since 1 + 3 + 2 + 249 + 400 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5905509 + ... + 5907747.

Almost surely, 213224940092 is an apocalyptic number.

13224940092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13224940092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21144166400).

13224940092 is an abundant number, since it is smaller than the sum of its proper divisors (29063392708).

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

13224940092 is a wasteful number, since it uses less digits than its factorization.

13224940092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13224940092 in words is "thirteen billion, two hundred twenty-four million, nine hundred forty thousand, ninety-two".