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13134463056 = 243211133717239
BaseRepresentation
bin11000011101110000…
…00000000001010000
31020220100210212002200
430032320000001100
5203344410304211
610011153043200
7643325044131
oct141670000120
936810725080
1013134463056
115630075550
122666856500
1313141c0a40
148c856bc88
1551d162b56
hex30ee00050

13134463056 has 240 divisors, whose sum is σ = 44354244480. Its totient is φ = 3574471680.

The previous prime is 13134463031. The next prime is 13134463057. The reversal of 13134463056 is 65036443131.

13134463056 is a `hidden beast` number, since 1 + 3 + 1 + 344 + 6 + 305 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13134463056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134463057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 753285 + ... + 770523.

It is an arithmetic number, because the mean of its divisors is an integer number (184809352).

Almost surely, 213134463056 is an apocalyptic number.

13134463056 is a gapful number since it is divisible by the number (16) 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 13134463056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22177122240).

13134463056 is an abundant number, since it is smaller than the sum of its proper divisors (31219781424).

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

13134463056 is a wasteful number, since it uses less digits than its factorization.

13134463056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17314 (or 17305 counting only the distinct ones).

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

The spelling of 13134463056 in words is "thirteen billion, one hundred thirty-four million, four hundred sixty-three thousand, fifty-six".