Search a number
-
+
128770099920 = 243457111721947
BaseRepresentation
bin111011111101101001…
…0111100101011010000
3110022101012122211220000
41313323102330223100
54102210121144140
6135053422050000
712206020534560
oct1677322745320
9408335584800
10128770099920
114a67a400a90
1220b58a19900
13c1b21419c7
146337dd4da0
153539dbda30
hex1dfb4bcad0

128770099920 has 2400 divisors, whose sum is σ = 636764958720. Its totient is φ = 23350394880.

The previous prime is 128770099877. The next prime is 128770099951. The reversal of 128770099920 is 29990077821.

128770099920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2739789337 + ... + 2739789383.

Almost surely, 2128770099920 is an apocalyptic number.

128770099920 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 128770099920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318382479360).

128770099920 is an abundant number, since it is smaller than the sum of its proper divisors (507994858800).

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

128770099920 is a wasteful number, since it uses less digits than its factorization.

128770099920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 128770099920 in words is "one hundred twenty-eight billion, seven hundred seventy million, ninety-nine thousand, nine hundred twenty".