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128140932805 = 5412332699973
BaseRepresentation
bin111011101010111001…
…0110111011011000101
3110020202100202211212021
41313111302313123011
54044413034322210
6134511144523141
712154310646244
oct1672562673305
9406670684767
10128140932805
114a387241466
1220a021804b1
13c1119a3282
1462b861895b
1534eea3dbda
hex1dd5cb76c5

128140932805 has 32 divisors (see below), whose sum is σ = 158799644640. Its totient is φ = 99203051520.

The previous prime is 128140932781. The next prime is 128140932809. The reversal of 128140932805 is 508239041821.

It can be written as a sum of positive squares in 16 ways, for example, as 123645766689 + 4495166116 = 351633^2 + 67046^2 .

It is not a de Polignac number, because 128140932805 - 215 = 128140900037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128140932809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12843799 + ... + 12853771.

It is an arithmetic number, because the mean of its divisors is an integer number (4962488895).

Almost surely, 2128140932805 is an apocalyptic number.

It is an amenable number.

128140932805 is a deficient number, since it is larger than the sum of its proper divisors (30658711835).

128140932805 is a wasteful number, since it uses less digits than its factorization.

128140932805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10521.

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 128140932805 in words is "one hundred twenty-eight billion, one hundred forty million, nine hundred thirty-two thousand, eight hundred five".

Divisors: 1 5 41 205 233 269 1165 1345 9553 9973 11029 47765 49865 55145 62677 313385 408893 2044465 2323709 2569757 2682737 11618545 12848785 13413685 95272069 109992217 476360345 549961085 625077721 3125388605 25628186561 128140932805