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128420663364 = 22327312836389
BaseRepresentation
bin111011110011001110…
…1111101000001000100
3110021110212010122001100
41313212131331001010
54101001142211424
6134555020300100
712164245425240
oct1674635750104
9407425118040
10128420663364
114a510131144
1220a7b9a1630
13c157925106
146303833420
153519396dc9
hex1de677d044

128420663364 has 216 divisors, whose sum is σ = 388025951040. Its totient is φ = 35074719360.

The previous prime is 128420663351. The next prime is 128420663387. The reversal of 128420663364 is 463366024821.

128420663364 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 2 + 0 + 6 + 633 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20097082 + ... + 20103470.

It is an arithmetic number, because the mean of its divisors is an integer number (1796416440).

Almost surely, 2128420663364 is an apocalyptic number.

128420663364 is a gapful number since it is divisible by the number (14) 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 128420663364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194012975520).

128420663364 is an abundant number, since it is smaller than the sum of its proper divisors (259605287676).

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

128420663364 is a wasteful number, since it uses less digits than its factorization.

128420663364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6551 (or 6515 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 128420663364 in words is "one hundred twenty-eight billion, four hundred twenty million, six hundred sixty-three thousand, three hundred sixty-four".