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128150830080 = 21033571361167
BaseRepresentation
bin111011101011001100…
…0100111110000000000
3110020210001101200101000
41313112120213300000
54044423103030310
6134512141012000
712154461040260
oct1672630476000
9406701350330
10128150830080
114a391891429
1220a05554000
13c113a5a150
1462b9a737a0
1535008464c0
hex1dd6627c00

128150830080 has 1408 divisors, whose sum is σ = 573123317760. Its totient is φ = 26435911680.

The previous prime is 128150830069. The next prime is 128150830081. The reversal of 128150830080 is 80038051821.

128150830080 is a `hidden beast` number, since 128 + 150 + 8 + 300 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128150830081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 767370157 + ... + 767370323.

Almost surely, 2128150830080 is an apocalyptic number.

128150830080 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 128150830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286561658880).

128150830080 is an abundant number, since it is smaller than the sum of its proper divisors (444972487680).

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

128150830080 is a wasteful number, since it uses less digits than its factorization.

128150830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 128150830080 in words is "one hundred twenty-eight billion, one hundred fifty million, eight hundred thirty thousand, eighty".