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13542312672 = 253372432173
BaseRepresentation
bin11001001110010111…
…10100101011100000
31021221210020202121000
430213023310223200
5210213313001142
610115442432000
7656406521100
oct144713645340
937853222530
1013542312672
11581a311a49
12275b362600
13137a850185
149267b7200
15543d7714c
hex3272f4ae0

13542312672 has 432 divisors, whose sum is σ = 47312430480. Its totient is φ = 3757404672.

The previous prime is 13542312661. The next prime is 13542312673. The reversal of 13542312672 is 27621324531.

13542312672 is a `hidden beast` number, since 1 + 354 + 231 + 2 + 6 + 72 = 666.

13542312672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13542312673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78279178 + ... + 78279350.

It is an arithmetic number, because the mean of its divisors is an integer number (109519515).

Almost surely, 213542312672 is an apocalyptic number.

13542312672 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 13542312672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23656215240).

13542312672 is an abundant number, since it is smaller than the sum of its proper divisors (33770117808).

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

13542312672 is a wasteful number, since it uses less digits than its factorization.

13542312672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 228 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The spelling of 13542312672 in words is "thirteen billion, five hundred forty-two million, three hundred twelve thousand, six hundred seventy-two".