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54377543136 = 253717371031249
BaseRepresentation
bin110010101001001001…
…110111010111100000
312012100122221101220010
4302221021313113200
51342331122340021
640551455244520
73633345330120
oct625111672740
9165318841803
1054377543136
1121074783aa4
12a656b19740
13518796c237
1428bbc80c80
151633d44976
hexca92775e0

54377543136 has 384 divisors, whose sum is σ = 179262720000. Its totient is φ = 14077919232.

The previous prime is 54377543131. The next prime is 54377543167. The reversal of 54377543136 is 63134577345.

54377543136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54377543131) 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, 43536240 + ... + 43537488.

It is an arithmetic number, because the mean of its divisors is an integer number (466830000).

Almost surely, 254377543136 is an apocalyptic number.

54377543136 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 54377543136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360000).

54377543136 is an abundant number, since it is smaller than the sum of its proper divisors (124885176864).

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

54377543136 is a wasteful number, since it uses less digits than its factorization.

54377543136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1418 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 48.

The spelling of 54377543136 in words is "fifty-four billion, three hundred seventy-seven million, five hundred forty-three thousand, one hundred thirty-six".