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54222491232 = 25357131937109
BaseRepresentation
bin110010011111111010…
…011000111001100000
312011221212011221200000
4302133322120321200
51342021424204412
640524240100000
73626453366550
oct623772307140
9164855157600
1054222491232
1120aa5201228
12a613004600
1351617c1a50
1428a543d160
1516254184dc
hexc9fe98e60

54222491232 has 1152 divisors, whose sum is σ = 214716902400. Its totient is φ = 13060694016.

The previous prime is 54222491209. The next prime is 54222491243. The reversal of 54222491232 is 23219422245.

54222491232 is a `hidden beast` number, since 542 + 2 + 2 + 4 + 91 + 23 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 497453994 + ... + 497454102.

It is an arithmetic number, because the mean of its divisors is an integer number (186386200).

Almost surely, 254222491232 is an apocalyptic number.

54222491232 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 54222491232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107358451200).

54222491232 is an abundant number, since it is smaller than the sum of its proper divisors (160494411168).

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

54222491232 is a wasteful number, since it uses less digits than its factorization.

54222491232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 54222491232 in words is "fifty-four billion, two hundred twenty-two million, four hundred ninety-one thousand, two hundred thirty-two".