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54900560736 = 2532729232381
BaseRepresentation
bin110011001000010101…
…000001001101100000
312020201010002110011100
4303020111001031200
51344414020420421
641115421314400
73652326031560
oct631025011540
9166633073140
1054900560736
1121312a3194a
12a782105a00
13523c1230c8
14292b508da0
151664c07c26
hexcc8541360

54900560736 has 216 divisors, whose sum is σ = 184797338544. Its totient is φ = 15144514560.

The previous prime is 54900560683. The next prime is 54900560749. The reversal of 54900560736 is 63706500945.

54900560736 is a `hidden beast` number, since 5 + 4 + 9 + 0 + 0 + 5 + 607 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54900560691 and 54900560700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1679266 + ... + 1711646.

It is an arithmetic number, because the mean of its divisors is an integer number (855543234).

Almost surely, 254900560736 is an apocalyptic number.

54900560736 is a gapful number since it is divisible by the number (56) 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 54900560736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92398669272).

54900560736 is an abundant number, since it is smaller than the sum of its proper divisors (129896777808).

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

54900560736 is a wasteful number, since it uses less digits than its factorization.

54900560736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32462 (or 32422 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 54900560736 in words is "fifty-four billion, nine hundred million, five hundred sixty thousand, seven hundred thirty-six".