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54554090976 = 25367113251
BaseRepresentation
bin110010110011101011…
…010101110111100000
312012210222010222000000
4302303223111313200
51343211321402401
641021203300000
73640621056630
oct626353256740
9165728128000
1054554090976
11211553a9000
12a6a607a600
1351b5404a08
1428d74ba6c0
1516445ba186
hexcb3ad5de0

54554090976 has 672 divisors, whose sum is σ = 203232105216. Its totient is φ = 14113440000.

The previous prime is 54554090971. The next prime is 54554091019. The reversal of 54554090976 is 67909045545.

54554090976 is a `hidden beast` number, since 5 + 4 + 5 + 540 + 9 + 0 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×545540909762 (a number of 22 digits) contains 22 as substring.

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 (54554090971) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 217346851 + ... + 217347101.

It is an arithmetic number, because the mean of its divisors is an integer number (302428728).

Almost surely, 254554090976 is an apocalyptic number.

54554090976 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 54554090976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101616052608).

54554090976 is an abundant number, since it is smaller than the sum of its proper divisors (148678014240).

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

54554090976 is an equidigital number, since it uses as much as digits as its factorization.

54554090976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 54554090976 in words is "fifty-four billion, five hundred fifty-four million, ninety thousand, nine hundred seventy-six".