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54020931328 = 2871319312127
BaseRepresentation
bin110010010011111001…
…011111111100000000
312011102210220122110101
4302103321133330000
51341113324300303
640452240012144
73621455224420
oct622371377400
9164383818411
1054020931328
1120a014532a1
12a577601054
13512bb0c730
142886772480
1516128a1d1d
hexc93e5ff00

54020931328 has 432 divisors, whose sum is σ = 145488322560. Its totient is φ = 19438755840.

The previous prime is 54020931323. The next prime is 54020931329. The reversal of 54020931328 is 82313902045.

It is a super-2 number, since 2×540209313282 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54020931323) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 425361601 + ... + 425361727.

Almost surely, 254020931328 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 54020931328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72744161280).

54020931328 is an abundant number, since it is smaller than the sum of its proper divisors (91467391232).

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

54020931328 is a wasteful number, since it uses less digits than its factorization.

54020931328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 54020931328 in words is "fifty-four billion, twenty million, nine hundred thirty-one thousand, three hundred twenty-eight".