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54148038120 = 233251117379039
BaseRepresentation
bin110010011011011110…
…010111110111101000
312011202200002100012100
4302123132113313220
51341343344204440
640513020213400
73624560505231
oct623336276750
9164680070170
1054148038120
1120a67179530
12a5b209a260
13514c254357
1428995bc088
15161db0d230
hexc9b797de8

54148038120 has 192 divisors, whose sum is σ = 193091558400. Its totient is φ = 13050754560.

The previous prime is 54148038107. The next prime is 54148038149. The reversal of 54148038120 is 2183084145.

54148038120 is a `hidden beast` number, since 54 + 1 + 480 + 3 + 8 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 645561 + ... + 724599.

It is an arithmetic number, because the mean of its divisors is an integer number (1005685200).

Almost surely, 254148038120 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 54148038120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96545779200).

54148038120 is an abundant number, since it is smaller than the sum of its proper divisors (138943520280).

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

54148038120 is a wasteful number, since it uses less digits than its factorization.

54148038120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79240 (or 79233 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 54148038120 in words is "fifty-four billion, one hundred forty-eight million, thirty-eight thousand, one hundred twenty".