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54239801220 = 2232511219131071
BaseRepresentation
bin110010100000111100…
…011010111110000100
312012000001202101111200
4302200330122332010
51342040342114340
640530055102500
73630053463153
oct624074327604
9165001671450
1054239801220
1121003a54500
12a618971a30
135165272947
1428a786759a
151626bd7330
hexca0f1af84

54239801220 has 216 divisors, whose sum is σ = 190363729920. Its totient is φ = 12456892800.

The previous prime is 54239801179. The next prime is 54239801251. The reversal of 54239801220 is 2210893245.

It is a happy number.

54239801220 is a `hidden beast` number, since 5 + 42 + 398 + 0 + 1 + 220 = 666.

It is a super-3 number, since 3×542398012203 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 348285 + ... + 479355.

Almost surely, 254239801220 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 54239801220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95181864960).

54239801220 is an abundant number, since it is smaller than the sum of its proper divisors (136123928700).

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

54239801220 is a wasteful number, since it uses less digits than its factorization.

54239801220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131127 (or 131111 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 54239801220 in words is "fifty-four billion, two hundred thirty-nine million, eight hundred one thousand, two hundred twenty".