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13557113856 = 210361113127
BaseRepresentation
bin11001010000001000…
…10010010000000000
31021222211002202000000
430220010102100000
5210231110120411
610121132000000
7656646365166
oct145004222000
937884082000
1013557113856
115827701330
122764300000
131380933180
1492874b236
155452ec956
hex328112400

13557113856 has 616 divisors, whose sum is σ = 48112425984. Its totient is φ = 3762339840.

The previous prime is 13557113851. The next prime is 13557113863. The reversal of 13557113856 is 65831175531.

13557113856 is a `hidden beast` number, since 1 + 3 + 557 + 1 + 13 + 85 + 6 = 666.

It is a super-2 number, since 2×135571138562 (a number of 21 digits) contains 22 as substring.

Its product of digits (378000) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13557113851) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 106748865 + ... + 106748991.

Almost surely, 213557113856 is an apocalyptic number.

13557113856 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 13557113856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24056212992).

13557113856 is an abundant number, since it is smaller than the sum of its proper divisors (34555312128).

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

13557113856 is a wasteful number, since it uses less digits than its factorization.

13557113856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The spelling of 13557113856 in words is "thirteen billion, five hundred fifty-seven million, one hundred thirteen thousand, eight hundred fifty-six".