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128107799820 = 223257111319231627
BaseRepresentation
bin111011101001111010…
…0011110010100001100
3110020200001102111221200
41313103310132110030
54044331044043240
6134504002425500
712153426221520
oct1672364362414
9406601374850
10128107799820
114a36a571130
12209b3062290
13c107b72260
1462b4071d80
1534ebb96930
hex1dd3d1e50c

128107799820 has 1152 divisors, whose sum is σ = 573439426560. Its totient is φ = 22253045760.

The previous prime is 128107799783. The next prime is 128107799867. The reversal of 128107799820 is 28997701821.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 78737847 + ... + 78739473.

It is an arithmetic number, because the mean of its divisors is an integer number (497777280).

Almost surely, 2128107799820 is an apocalyptic number.

128107799820 is a gapful number since it is divisible by the number (10) 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 128107799820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286719713280).

128107799820 is an abundant number, since it is smaller than the sum of its proper divisors (445331626740).

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

128107799820 is a wasteful number, since it uses less digits than its factorization.

128107799820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 128107799820 in words is "one hundred twenty-eight billion, one hundred seven million, seven hundred ninety-nine thousand, eight hundred twenty".