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13180502016 = 215321117239
BaseRepresentation
bin11000100011001111…
…01000000000000000
31021000120102212200100
430101213220000000
5203443202031031
610015515522400
7644424263403
oct142147500000
937016385610
1013180502016
115654060280
12267a159400
1313208c0226
148d0713d3a
15522208de6
hex3119e8000

13180502016 has 384 divisors, whose sum is σ = 44165347200. Its totient is φ = 3743416320.

The previous prime is 13180501987. The next prime is 13180502021. The reversal of 13180502016 is 61020508131.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55148425 + ... + 55148663.

It is an arithmetic number, because the mean of its divisors is an integer number (115013925).

Almost surely, 213180502016 is an apocalyptic number.

13180502016 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 13180502016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22082673600).

13180502016 is an abundant number, since it is smaller than the sum of its proper divisors (30984845184).

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

13180502016 is a wasteful number, since it uses less digits than its factorization.

13180502016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 13180502016 in words is "thirteen billion, one hundred eighty million, five hundred two thousand, sixteen".