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54270844992 = 2634713293967
BaseRepresentation
bin110010100010110010…
…110110000001000000
312012002020011120120000
4302202302312001000
51342121314014432
640533124320000
73630611366610
oct624262660100
9165066146500
1054270844992
112101a528111
12a627243000
13516b821a40
1428aba28a40
1516297ba57c
hexca2cb6040

54270844992 has 560 divisors, whose sum is σ = 204880220160. Its totient is φ = 13816147968.

The previous prime is 54270844987. The next prime is 54270844993. The reversal of 54270844992 is 29944807245.

It is a happy number.

54270844992 is a `hidden beast` number, since 5 + 4 + 2 + 70 + 84 + 499 + 2 = 666.

It is a super-2 number, since 2×542708449922 (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 not an unprimeable number, because it can be changed into a prime (54270844993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13678593 + ... + 13682559.

It is an arithmetic number, because the mean of its divisors is an integer number (365857536).

Almost surely, 254270844992 is an apocalyptic number.

54270844992 is a gapful number since it is divisible by the number (52) 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 54270844992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102440110080).

54270844992 is an abundant number, since it is smaller than the sum of its proper divisors (150609375168).

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

54270844992 is a wasteful number, since it uses less digits than its factorization.

54270844992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 54270844992 in words is "fifty-four billion, two hundred seventy million, eight hundred forty-four thousand, nine hundred ninety-two".