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13342689360 = 2434571131317
BaseRepresentation
bin11000110110100100…
…10100100001010000
31021102212121211220000
430123102110201100
5204311212024420
610043552050000
7651433662660
oct143322244120
937385554800
1013342689360
115727667000
122704533900
131348398480
149080921a0
15531594690
hex31b494850

13342689360 has 1600 divisors, whose sum is σ = 66424748544. Its totient is φ = 2408693760.

The previous prime is 13342689337. The next prime is 13342689397. The reversal of 13342689360 is 6398624331.

13342689360 is a `hidden beast` number, since 133 + 426 + 8 + 93 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 784864072 + ... + 784864088.

Almost surely, 213342689360 is an apocalyptic number.

13342689360 is a gapful number since it is divisible by the number (10) 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 13342689360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33212374272).

13342689360 is an abundant number, since it is smaller than the sum of its proper divisors (53082059184).

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

13342689360 is a wasteful number, since it uses less digits than its factorization.

13342689360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 13342689360 in words is "thirteen billion, three hundred forty-two million, six hundred eighty-nine thousand, three hundred sixty".