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13749113088 = 2832431071297
BaseRepresentation
bin11001100111000001…
…01101000100000000
31022111012101022102200
430303200231010000
5211124233104323
610152151113200
7664500350544
oct146340550400
938435338380
1013749113088
11591601a187
1227b8672800
1313b1648899
14946049a24
155570c6443
hex33382d100

13749113088 has 216 divisors, whose sum is σ = 40974661728. Its totient is φ = 4431200256.

The previous prime is 13749113083. The next prime is 13749113099. The reversal of 13749113088 is 88031194731.

It is a super-2 number, since 2×137491130882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13749113083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10600056 + ... + 10601352.

It is an arithmetic number, because the mean of its divisors is an integer number (189697508).

Almost surely, 213749113088 is an apocalyptic number.

13749113088 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 13749113088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20487330864).

13749113088 is an abundant number, since it is smaller than the sum of its proper divisors (27225548640).

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

13749113088 is a wasteful number, since it uses less digits than its factorization.

13749113088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 13749113088 in words is "thirteen billion, seven hundred forty-nine million, one hundred thirteen thousand, eighty-eight".