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128927060640 = 25335731831657
BaseRepresentation
bin111100000010010100…
…1101101001010100000
3110022210011000021112000
41320010221231022200
54103020311420030
6135121150204000
712212634635160
oct1700451551240
9408704007460
10128927060640
114a74aa67994
1220ba14b3600
13c208809c81
146350bb25a0
153548a75860
hex1e04a6d2a0

128927060640 has 768 divisors, whose sum is σ = 539082915840. Its totient is φ = 28157829120.

The previous prime is 128927060627. The next prime is 128927060641. The reversal of 128927060640 is 46060729821.

It is a happy number.

128927060640 is a `hidden beast` number, since 1 + 289 + 270 + 60 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (128927060641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77806692 + ... + 77808348.

It is an arithmetic number, because the mean of its divisors is an integer number (701930880).

Almost surely, 2128927060640 is an apocalyptic number.

128927060640 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 128927060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269541457920).

128927060640 is an abundant number, since it is smaller than the sum of its proper divisors (410155855200).

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

128927060640 is a wasteful number, since it uses less digits than its factorization.

128927060640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 128927060640 in words is "one hundred twenty-eight billion, nine hundred twenty-seven million, sixty thousand, six hundred forty".