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54137026944 = 27337111315649
BaseRepresentation
bin110010011010110100…
…010111100110000000
312011201220100220201000
4302122310113212000
51341333034330234
640511544212000
73624365064540
oct623264274600
9164656326630
1054137026944
1120a60a38690
12a5aa46a000
135149b9a470
142897d53320
15161cb85899
hexc9ad17980

54137026944 has 512 divisors, whose sum is σ = 214542720000. Its totient is φ = 12979077120.

The previous prime is 54137026943. The next prime is 54137026991. The reversal of 54137026944 is 44962073145.

54137026944 is a `hidden beast` number, since 541 + 3 + 7 + 0 + 2 + 69 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54137026944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54137026943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3451632 + ... + 3467280.

It is an arithmetic number, because the mean of its divisors is an integer number (419028750).

Almost surely, 254137026944 is an apocalyptic number.

54137026944 is a gapful number since it is divisible by the number (54) 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 54137026944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107271360000).

54137026944 is an abundant number, since it is smaller than the sum of its proper divisors (160405693056).

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

54137026944 is a wasteful number, since it uses less digits than its factorization.

54137026944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15703 (or 15685 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 54137026944 in words is "fifty-four billion, one hundred thirty-seven million, twenty-six thousand, nine hundred forty-four".