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13156926048 = 2532719389883
BaseRepresentation
bin11000100000011011…
…01100001001100000
31020221221002002112100
430100031230021200
5203421133113143
610013314330400
7644020011660
oct142015541140
936857062470
1013156926048
115641818302
122672289a00
131318a57256
148cb5381a0
155200ed6d3
hex31036c260

13156926048 has 288 divisors, whose sum is σ = 45177350400. Its totient is φ = 3548095488.

The previous prime is 13156926037. The next prime is 13156926071. The reversal of 13156926048 is 84062965131.

13156926048 is a `hidden beast` number, since 1 + 31 + 5 + 6 + 9 + 2 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 13156925994 and 13156926012.

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, 14899815 + ... + 14900697.

It is an arithmetic number, because the mean of its divisors is an integer number (156865800).

Almost surely, 213156926048 is an apocalyptic number.

13156926048 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 13156926048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22588675200).

13156926048 is an abundant number, since it is smaller than the sum of its proper divisors (32020424352).

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

13156926048 is a wasteful number, since it uses less digits than its factorization.

13156926048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13156926048 in words is "thirteen billion, one hundred fifty-six million, nine hundred twenty-six thousand, forty-eight".