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54997802496 = 293471321959
BaseRepresentation
bin110011001110000111…
…111101111000000000
312020221220001211210000
4303032013331320000
51400113414134441
641133213440000
73654616415340
oct631607757000
9166856054700
1054997802496
112136290a03a
12a7aa7a0000
13525630c300
14293a3bcd20
15166d5152b6
hexcce1fde00

54997802496 has 1200 divisors, whose sum is σ = 217461974400. Its totient is φ = 13508591616.

The previous prime is 54997802449. The next prime is 54997802513. The reversal of 54997802496 is 69420879945.

54997802496 is a `hidden beast` number, since 54 + 9 + 97 + 8 + 0 + 2 + 496 = 666.

54997802496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×549978024963 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 932166115 + ... + 932166173.

It is an arithmetic number, because the mean of its divisors is an integer number (181218312).

Almost surely, 254997802496 is an apocalyptic number.

54997802496 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 54997802496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108730987200).

54997802496 is an abundant number, since it is smaller than the sum of its proper divisors (162464171904).

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

54997802496 is a wasteful number, since it uses less digits than its factorization.

54997802496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 54997802496 in words is "fifty-four billion, nine hundred ninety-seven million, eight hundred two thousand, four hundred ninety-six".