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54741872304 = 2434722327059
BaseRepresentation
bin110010111110110111…
…101010111010110000
312020022001111020120000
4302332313222322300
51344102404403204
641051552150000
73645361144230
oct627667527260
9166261436500
1054741872304
11212413a5989
12a738b38300
1352152a1622
1429143dbcc0
151655d0e039
hexcbedeaeb0

54741872304 has 200 divisors, whose sum is σ = 181891691520. Its totient is φ = 15569822592.

The previous prime is 54741872299. The next prime is 54741872369. The reversal of 54741872304 is 40327814745.

54741872304 is a `hidden beast` number, since 547 + 4 + 1 + 8 + 72 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54741872304.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2009527 + ... + 2036585.

Almost surely, 254741872304 is an apocalyptic number.

54741872304 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 54741872304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90945845760).

54741872304 is an abundant number, since it is smaller than the sum of its proper divisors (127149819216).

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

54741872304 is a wasteful number, since it uses less digits than its factorization.

54741872304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27309 (or 27294 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 54741872304 in words is "fifty-four billion, seven hundred forty-one million, eight hundred seventy-two thousand, three hundred four".