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54860998536400 = 245271921115233209
BaseRepresentation
bin11000111100101010100100…
…10101000110110011010000
321012020122211022111102020111
430132111102111012303100
524142320311111131100
6312402443402051104
714361401454300640
oct1436252225066320
9235218738442214
1054860998536400
11165314674a5701
1261a05194a9a94
13247c4a6a6c1a4
14d7940220c520
156520d91526ba
hex31e552546cd0

54860998536400 has 480 divisors, whose sum is σ = 159466414924800. Its totient is φ = 17717891788800.

The previous prime is 54860998536391. The next prime is 54860998536427. The reversal of 54860998536400 is 463589906845.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17095977996 + ... + 17095981204.

It is an arithmetic number, because the mean of its divisors is an integer number (332221697760).

Almost surely, 254860998536400 is an apocalyptic number.

54860998536400 is a gapful number since it is divisible by the number (50) 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 54860998536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79733207462400).

54860998536400 is an abundant number, since it is smaller than the sum of its proper divisors (104605416388400).

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

54860998536400 is a wasteful number, since it uses less digits than its factorization.

54860998536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4987 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 67.

The spelling of 54860998536400 in words is "fifty-four trillion, eight hundred sixty billion, nine hundred ninety-eight million, five hundred thirty-six thousand, four hundred".