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54769714272 = 2534713892609
BaseRepresentation
bin110011000000100001…
…111000010001100000
312020100222212202120000
4303000201320101200
51344132021324042
641054425020000
73646146614160
oct630041702140
9166328782500
1054769714272
1121256091a79
12a746324600
13521ac9c270
142917da85a0
1516584ad74c
hexcc0878460

54769714272 has 480 divisors, whose sum is σ = 200551982400. Its totient is φ = 14276984832.

The previous prime is 54769714199. The next prime is 54769714277. The reversal of 54769714272 is 27241796745.

54769714272 is a `hidden beast` number, since 5 + 476 + 97 + 14 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54769714277) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20991304 + ... + 20993912.

It is an arithmetic number, because the mean of its divisors is an integer number (417816630).

Almost surely, 254769714272 is an apocalyptic number.

54769714272 is a gapful number since it is divisible by the number (52) 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 54769714272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100275991200).

54769714272 is an abundant number, since it is smaller than the sum of its proper divisors (145782268128).

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

54769714272 is a wasteful number, since it uses less digits than its factorization.

54769714272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2723 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 54769714272 in words is "fifty-four billion, seven hundred sixty-nine million, seven hundred fourteen thousand, two hundred seventy-two".