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128880267264 = 2123372171399
BaseRepresentation
bin111100000000111011…
…1001101000000000000
3110022122212221221002000
41320001313031000000
54102421322023024
6135112355224000
712211526124300
oct1700167150000
9408585857060
10128880267264
114a726607381
1220b898a8000
13c1cbc05298
1463488b1600
1535448d0cc9
hex1e01dcd000

128880267264 has 624 divisors, whose sum is σ = 470622096000. Its totient is φ = 34632105984.

The previous prime is 128880267251. The next prime is 128880267277. The reversal of 128880267264 is 462762088821.

128880267264 is a `hidden beast` number, since 1 + 288 + 80 + 26 + 7 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (128880267251) and next prime (128880267277).

It is a super-2 number, since 2×1288802672642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 128880267264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92122437 + ... + 92123835.

Almost surely, 2128880267264 is an apocalyptic number.

128880267264 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 128880267264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235311048000).

128880267264 is an abundant number, since it is smaller than the sum of its proper divisors (341741828736).

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

128880267264 is a wasteful number, since it uses less digits than its factorization.

128880267264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 128880267264 in words is "one hundred twenty-eight billion, eight hundred eighty million, two hundred sixty-seven thousand, two hundred sixty-four".