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54399496320 = 27365138969
BaseRepresentation
bin110010101010011101…
…100111000010000000
312012102012020202000000
4302222131213002000
51342402232340240
640554002000000
73634033042431
oct625235470200
9165365222000
1054399496320
1121086108824
12a662346000
13518c3876a0
1428c0b57488
151635c2e430
hexcaa767080

54399496320 has 448 divisors, whose sum is σ = 210006178200. Its totient is φ = 13389152256.

The previous prime is 54399496279. The next prime is 54399496321. The reversal of 54399496320 is 2369499345.

54399496320 is a `hidden beast` number, since 5 + 43 + 99 + 496 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34747942464 + 19651553856 = 186408^2 + 140184^2 .

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 (54399496321) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6060796 + ... + 6069764.

Almost surely, 254399496320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54399496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105003089100).

54399496320 is an abundant number, since it is smaller than the sum of its proper divisors (155606681880).

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

54399496320 is an equidigital number, since it uses as much as digits as its factorization.

54399496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9019 (or 8992 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 54399496320 in words is "fifty-four billion, three hundred ninety-nine million, four hundred ninety-six thousand, three hundred twenty".