Search a number
-
+
128491534080 = 28325713196451
BaseRepresentation
bin111011110101010110…
…0010011011100000000
3110021122210111020101200
41313222230103130000
54101122313042310
6135010031301200
712166066006350
oct1675254233400
9407583436350
10128491534080
114a547137388
1220a9b67a800
13c16950a050
14630d000b60
1535206e59c0
hex1deab13700

128491534080 has 864 divisors, whose sum is σ = 576046947840. Its totient is φ = 25679462400.

The previous prime is 128491534057. The next prime is 128491534121. The reversal of 128491534080 is 80435194821.

128491534080 is a `hidden beast` number, since 1 + 28 + 4 + 91 + 534 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19914855 + ... + 19921305.

Almost surely, 2128491534080 is an apocalyptic number.

128491534080 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 128491534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288023473920).

128491534080 is an abundant number, since it is smaller than the sum of its proper divisors (447555413760).

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

128491534080 is a wasteful number, since it uses less digits than its factorization.

128491534080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6517 (or 6500 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 128491534080 in words is "one hundred twenty-eight billion, four hundred ninety-one million, five hundred thirty-four thousand, eighty".