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54137090880 = 2633523893061
BaseRepresentation
bin110010011010110100…
…100111001101000000
312011201220111011102000
4302122310213031000
51341333043402010
640511545424000
73624365452125
oct623264471500
9164656434360
1054137090880
1120a60a81724
12a5aa49b000
135149bc05b2
142897d6c74c
15161cb997c0
hexc9ad27340

54137090880 has 448 divisors, whose sum is σ = 201592281600. Its totient is φ = 13649264640.

The previous prime is 54137090851. The next prime is 54137090893. The reversal of 54137090880 is 8809073145.

54137090880 is a `hidden beast` number, since 5 + 413 + 70 + 90 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17684550 + ... + 17687610.

Almost surely, 254137090880 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 54137090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100796140800).

54137090880 is an abundant number, since it is smaller than the sum of its proper divisors (147455190720).

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

54137090880 is a wasteful number, since it uses less digits than its factorization.

54137090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

It can be divided in two parts, 541370 and 90880, that added together give a triangular number (632250 = T1124).

The spelling of 54137090880 in words is "fifty-four billion, one hundred thirty-seven million, ninety thousand, eight hundred eighty".