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13387488084 = 223319471271093
BaseRepresentation
bin11000111011111010…
…01101101101010100
31021112222220212012000
430131331031231110
5204404144104314
610052232155300
7652516525335
oct143575155524
937488825160
1013387488084
11574a984a43
122717538b30
1313547522a9
1490ddd428c
15535493209
hex31df4db54

13387488084 has 192 divisors, whose sum is σ = 37640601600. Its totient is φ = 4101342336.

The previous prime is 13387488061. The next prime is 13387488113. The reversal of 13387488084 is 48088478331.

It is a happy number.

13387488084 is a `hidden beast` number, since 1 + 3 + 3 + 87 + 488 + 0 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13387488084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12247842 + ... + 12248934.

It is an arithmetic number, because the mean of its divisors is an integer number (196044800).

Almost surely, 213387488084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13387488084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18820300800).

13387488084 is an abundant number, since it is smaller than the sum of its proper divisors (24253113516).

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

13387488084 is a wasteful number, since it uses less digits than its factorization.

13387488084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 13387488084 in words is "thirteen billion, three hundred eighty-seven million, four hundred eighty-eight thousand, eighty-four".