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13287748032 = 263413229523
BaseRepresentation
bin11000110000000001…
…01111000111000000
31021022001020112120000
430120000233013000
5204203130414112
610034310320000
7650165665116
oct143000570700
937261215500
1013287748032
1156a9650849
1226aa059000
131339b9cc00
14900a6dab6
1552b8407dc
hex31802f1c0

13287748032 has 420 divisors, whose sum is σ = 44207170920. Its totient is φ = 3940005888.

The previous prime is 13287748013. The next prime is 13287748043. The reversal of 13287748032 is 23084778231.

13287748032 is a `hidden beast` number, since 132 + 8 + 7 + 7 + 480 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25406523 + ... + 25407045.

Almost surely, 213287748032 is an apocalyptic number.

13287748032 is a gapful number since it is divisible by the number (12) 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 13287748032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22103585460).

13287748032 is an abundant number, since it is smaller than the sum of its proper divisors (30919422888).

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

13287748032 is a wasteful number, since it uses less digits than its factorization.

13287748032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 13287748032 in words is "thirteen billion, two hundred eighty-seven million, seven hundred forty-eight thousand, thirty-two".