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13548162012 = 223711197263283
BaseRepresentation
bin11001001111000100…
…01000101111011100
31021222012020221101020
430213202020233130
5210221312141022
610120212044140
7656510322420
oct144742105734
937865227336
1013548162012
115822647710
122761303650
13137bb1a718
1492749ab80
1554463035c
hex327888bdc

13548162012 has 192 divisors, whose sum is σ = 39904026624. Its totient is φ = 3475503360.

The previous prime is 13548162011. The next prime is 13548162013. The reversal of 13548162012 is 21026184531.

13548162012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13548162011) and next prime (13548162013).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13548162011) 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 63 ways as a sum of consecutive naturals, for example, 47873223 + ... + 47873505.

It is an arithmetic number, because the mean of its divisors is an integer number (207833472).

Almost surely, 213548162012 is an apocalyptic number.

13548162012 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 13548162012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19952013312).

13548162012 is an abundant number, since it is smaller than the sum of its proper divisors (26355864612).

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

13548162012 is a wasteful number, since it uses less digits than its factorization.

13548162012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 13548162012 in words is "thirteen billion, five hundred forty-eight million, one hundred sixty-two thousand, twelve".