Search a number
-
+
128151495792 = 24341943127953
BaseRepresentation
bin111011101011001101…
…1001010010001110000
3110020210002122111120000
41313112123022101300
54044423240331132
6134512203150000
712154466512155
oct1672633122160
9406702574500
10128151495792
114a3921a6601
1220a05815300
13c113c31168
1462b9ba822c
15350092887c
hex1dd66ca470

128151495792 has 400 divisors, whose sum is σ = 403077058560. Its totient is φ = 39175363584.

The previous prime is 128151495781. The next prime is 128151495793. The reversal of 128151495792 is 297594151821.

128151495792 is a `hidden beast` number, since 1 + 2 + 81 + 5 + 1 + 495 + 79 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128151495793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 134471188 + ... + 134472140.

Almost surely, 2128151495792 is an apocalyptic number.

128151495792 is a gapful number since it is divisible by the number (12) 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 128151495792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201538529280).

128151495792 is an abundant number, since it is smaller than the sum of its proper divisors (274925562768).

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

128151495792 is a wasteful number, since it uses less digits than its factorization.

128151495792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1147 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 54.

The spelling of 128151495792 in words is "one hundred twenty-eight billion, one hundred fifty-one million, four hundred ninety-five thousand, seven hundred ninety-two".