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13472712432 = 24321719476163
BaseRepresentation
bin11001000110000100…
…10100011011110000
31021202221021201000100
430203002110123300
5210043003244212
610104514552400
7654603110664
oct144302243360
937687251010
1013472712432
115793aa4293
12273bb98700
1313692c15ba
1491b45a8a4
1553cbc9bdc
hex3230946f0

13472712432 has 240 divisors, whose sum is σ = 42925109760. Its totient is φ = 3918440448.

The previous prime is 13472712419. The next prime is 13472712467. The reversal of 13472712432 is 23421727431.

13472712432 is a `hidden beast` number, since 1 + 347 + 2 + 71 + 243 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2182983 + ... + 2189145.

It is an arithmetic number, because the mean of its divisors is an integer number (178854624).

Almost surely, 213472712432 is an apocalyptic number.

13472712432 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 13472712432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21462554880).

13472712432 is an abundant number, since it is smaller than the sum of its proper divisors (29452397328).

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

13472712432 is a wasteful number, since it uses less digits than its factorization.

13472712432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6260 (or 6251 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

It can be divided in two parts, 13472 and 712432, that added together give a square (725904 = 8522).

The spelling of 13472712432 in words is "thirteen billion, four hundred seventy-two million, seven hundred twelve thousand, four hundred thirty-two".