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54375636772512 = 2533112234143101127
BaseRepresentation
bin11000101110100010100001…
…00000111010011010100000
321010112021000121201010221000
430113101100200322122200
524111342301003210022
6311351453411032000
714311336653336426
oct1427212040723240
9233467017633830
1054375636772512
111636463a42a700
12612244289b600
1324457a65258b3
14d5db1b15d116
1564467d6c46ac
hex31745083a6a0

54375636772512 has 2304 divisors, whose sum is σ = 194077653073920. Its totient is φ = 14753249280000.

The previous prime is 54375636772481. The next prime is 54375636772529. The reversal of 54375636772512 is 21527763657345.

54375636772512 is a `hidden beast` number, since 5 + 4 + 3 + 7 + 56 + 3 + 67 + 7 + 2 + 512 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54375636772512.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 428154620193 + ... + 428154620319.

It is an arithmetic number, because the mean of its divisors is an integer number (84235092480).

Almost surely, 254375636772512 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 54375636772512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97038826536960).

54375636772512 is an abundant number, since it is smaller than the sum of its proper divisors (139702016301408).

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

54375636772512 is a wasteful number, since it uses less digits than its factorization.

54375636772512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 351 counting only the distinct ones).

The product of its digits is 222264000, while the sum is 63.

The spelling of 54375636772512 in words is "fifty-four trillion, three hundred seventy-five billion, six hundred thirty-six million, seven hundred seventy-two thousand, five hundred twelve".