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13380739008 = 2637134118679
BaseRepresentation
bin11000111011000110…
…11101111111000000
31021112112012222012020
430131203131333000
5204400432122013
610051431401440
7652405255620
oct143543357700
937475188166
1013380739008
11574709529a
122715223280
13135322b360
1490d158880
15534aad623
hex31d8ddfc0

13380739008 has 224 divisors, whose sum is σ = 44638325760. Its totient is φ = 3442728960.

The previous prime is 13380739007. The next prime is 13380739019. The reversal of 13380739008 is 80093708331.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13380739007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707013 + ... + 725691.

It is an arithmetic number, because the mean of its divisors is an integer number (199278240).

Almost surely, 213380739008 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 13380739008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22319162880).

13380739008 is an abundant number, since it is smaller than the sum of its proper divisors (31257586752).

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

13380739008 is a wasteful number, since it uses less digits than its factorization.

13380739008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18755 (or 18745 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 13380739008 in words is "thirteen billion, three hundred eighty million, seven hundred thirty-nine thousand, eight".