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159053085828 = 22327131012691787
BaseRepresentation
bin1001010000100001001…
…1010111110010000100
3120012112200102220221200
42110020103113302010
510101220042221303
6201022403342500
714330324631330
oct2241023276204
9505480386850
10159053085828
11614aa35856a
12269aa681a30
1311cca028590
1479abc647c0
15420d7953a3
hex25084d7c84

159053085828 has 288 divisors, whose sum is σ = 501869571840. Its totient is φ = 41355187200.

The previous prime is 159053085787. The next prime is 159053085847. The reversal of 159053085828 is 828580350951.

It is a happy number.

159053085828 is a `hidden beast` number, since 1 + 5 + 9 + 0 + 53 + 0 + 8 + 582 + 8 = 666.

It is a super-2 number, since 2×1590530858282 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89004751 + ... + 89006537.

It is an arithmetic number, because the mean of its divisors is an integer number (1742602680).

Almost surely, 2159053085828 is an apocalyptic number.

159053085828 is a gapful number since it is divisible by the number (18) 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 159053085828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250934785920).

159053085828 is an abundant number, since it is smaller than the sum of its proper divisors (342816486012).

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

159053085828 is a wasteful number, since it uses less digits than its factorization.

159053085828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 159053085828 in words is "one hundred fifty-nine billion, fifty-three million, eighty-five thousand, eight hundred twenty-eight".