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13055496691200 = 2935217196431637
BaseRepresentation
bin1011110111111011100000…
…1111100001111000000000
31201020002112000022112200220
42331332320033201320000
53202400124123104300
643433340135143040
72515141243605045
oct275767017417000
951202460275626
1013055496691200
114183894587247
12156a2ab514a80
13739188450a32
14331c6478b1cc
1517990b895da0
hexbdfb83e1e00

13055496691200 has 960 divisors, whose sum is σ = 48172544259840. Its totient is φ = 3097496125440.

The previous prime is 13055496691199. The next prime is 13055496691201. The reversal of 13055496691200 is 219669455031.

It is an interprime number because it is at equal distance from previous prime (13055496691199) and next prime (13055496691201).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13055496691201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7975256782 + ... + 7975258418.

It is an arithmetic number, because the mean of its divisors is an integer number (50179733604).

Almost surely, 213055496691200 is an apocalyptic number.

13055496691200 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 13055496691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24086272129920).

13055496691200 is an abundant number, since it is smaller than the sum of its proper divisors (35117047568640).

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

13055496691200 is a wasteful number, since it uses less digits than its factorization.

13055496691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 13055496691200 in words is "thirteen trillion, fifty-five billion, four hundred ninety-six million, six hundred ninety-one thousand, two hundred".