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54265639560 = 233511210137003
BaseRepresentation
bin110010100010011110…
…111111001010001000
312012001212101010001020
4302202132333022020
51342114000431220
640532420552440
73630516216456
oct624236771210
9165055333036
1054265639560
11210175a2200
12a625552720
13516a71b5c2
1428ab0719d6
1516290dd040
hexca27bf288

54265639560 has 192 divisors, whose sum is σ = 180718655040. Its totient is φ = 13024704000.

The previous prime is 54265639537. The next prime is 54265639591. The reversal of 54265639560 is 6593656245.

It is a happy number.

54265639560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×542656395603 (a number of 33 digits) contains 333 as substring.

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, 1448019 + ... + 1485021.

It is an arithmetic number, because the mean of its divisors is an integer number (941242995).

Almost surely, 254265639560 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 54265639560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90359327520).

54265639560 is an abundant number, since it is smaller than the sum of its proper divisors (126453015480).

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

54265639560 is a wasteful number, since it uses less digits than its factorization.

54265639560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37140 (or 37125 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 51.

The spelling of 54265639560 in words is "fifty-four billion, two hundred sixty-five million, six hundred thirty-nine thousand, five hundred sixty".