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128896236925344 = 25327331208920149
BaseRepresentation
bin11101010011101011111110…
…011010100011000110100000
3121220101100201101001112001200
4131103223332122203012200
5113343313443123102334
61134050040324401200
736102305624316000
oct3523537632430640
9556340641045050
10128896236925344
1138085650476589
1212558b54b46200
1356bcb2aca0a25
1423b887b016000
15ed7d48572799
hex753afe6a31a0

128896236925344 has 576 divisors, whose sum is σ = 441484243200000. Its totient is φ = 35620684001280.

The previous prime is 128896236925343. The next prime is 128896236925367. The reversal of 128896236925344 is 443529632698821.

128896236925344 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 9 + 6 + 2 + 369 + 253 + 4 + 4 = 666.

It is a super-3 number, since 3×1288962369253443 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (128896236925343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6397142982 + ... + 6397163130.

It is an arithmetic number, because the mean of its divisors is an integer number (766465700000).

Almost surely, 2128896236925344 is an apocalyptic number.

128896236925344 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 128896236925344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220742121600000).

128896236925344 is an abundant number, since it is smaller than the sum of its proper divisors (312588006274656).

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

128896236925344 is a wasteful number, since it uses less digits than its factorization.

128896236925344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22306 (or 22281 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 72.

The spelling of 128896236925344 in words is "one hundred twenty-eight trillion, eight hundred ninety-six billion, two hundred thirty-six million, nine hundred twenty-five thousand, three hundred forty-four".