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54990542880 = 253257133113537
BaseRepresentation
bin110011001101101100…
…010001100000100000
312020221101102000110100
4303031230101200200
51400110034333010
641132354102400
73654500621310
oct631554214040
9166841360410
1054990542880
1121359800859
12a7a827aa00
135254969b90
14293944d440
15166ca7e2c0
hexccdb11820

54990542880 has 576 divisors, whose sum is σ = 238428223488. Its totient is φ = 11227299840.

The previous prime is 54990542851. The next prime is 54990542909. The reversal of 54990542880 is 8824509945.

It is a happy number.

54990542880 is a `hidden beast` number, since 5 + 4 + 9 + 90 + 542 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54990542851) and next prime (54990542909).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4055472 + ... + 4069008.

It is an arithmetic number, because the mean of its divisors is an integer number (413937888).

Almost surely, 254990542880 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 54990542880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119214111744).

54990542880 is an abundant number, since it is smaller than the sum of its proper divisors (183437680608).

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

54990542880 is a wasteful number, since it uses less digits than its factorization.

54990542880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13609 (or 13598 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 54990542880 in words is "fifty-four billion, nine hundred ninety million, five hundred forty-two thousand, eight hundred eighty".