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55520991119360 = 21151317101449541
BaseRepresentation
bin11001001111110111111001…
…11101000000100000000000
321021120202101022222110012202
430213323330331000200000
524234123442211304420
6314025554033412332
714460154626552434
oct1447737475004000
9237522338873182
1055520991119360
111676635806a778
12628840b70a0a8
1324c97b775a8a0
14d9d331d749c4
15664365c5a575
hex327efcf40800

55520991119360 has 768 divisors, whose sum is σ = 154034381592000. Its totient is φ = 19025362944000.

The previous prime is 55520991119333. The next prime is 55520991119413. The reversal of 55520991119360 is 6391119902555.

It can be written as a sum of positive squares in 32 ways, for example, as 1756197446656 + 53764793672704 = 1325216^2 + 7332448^2 .

It is a junction number, because it is equal to n+sod(n) for n = 55520991119296 and 55520991119305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102626600690 + ... + 102626601230.

Almost surely, 255520991119360 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 55520991119360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77017190796000).

55520991119360 is an abundant number, since it is smaller than the sum of its proper divisors (98513390472640).

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

55520991119360 is a wasteful number, since it uses less digits than its factorization.

55520991119360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 3280500, while the sum is 56.

The spelling of 55520991119360 in words is "fifty-five trillion, five hundred twenty billion, nine hundred ninety-one million, one hundred nineteen thousand, three hundred sixty".