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13160130048 = 293313243131
BaseRepresentation
bin11000100000110011…
…11010011000000000
31020222011002212121000
430100121322120000
5203422443130143
610013511132000
7644056155042
oct142031723000
936864085530
1013160130048
11564360653a
122673374000
131319609700
148cbb2da92
15520532bd3
hex31067a600

13160130048 has 480 divisors, whose sum is σ = 43492394880. Its totient is φ = 3924910080.

The previous prime is 13160130019. The next prime is 13160130079. The reversal of 13160130048 is 84003106131.

13160130048 is a `hidden beast` number, since 1 + 316 + 0 + 1 + 300 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 100458943 + ... + 100459073.

It is an arithmetic number, because the mean of its divisors is an integer number (90609156).

Almost surely, 213160130048 is an apocalyptic number.

13160130048 is a gapful number since it is divisible by the number (18) 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 13160130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21746197440).

13160130048 is an abundant number, since it is smaller than the sum of its proper divisors (30332264832).

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

13160130048 is a wasteful number, since it uses less digits than its factorization.

13160130048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 13160130048 its reverse (84003106131), we get a palindrome (97163236179).

The spelling of 13160130048 in words is "thirteen billion, one hundred sixty million, one hundred thirty thousand, forty-eight".