Search a number
-
+
128949169536 = 27341122341109
BaseRepresentation
bin111100000010111111…
…0000010110110000000
3110022211200121112020000
41320011332002312000
54103041441411121
6135123300120000
712213323566455
oct1700576026600
9408750545200
10128949169536
114a761498700
1220ba8996000
13c21027b265
146353ac982c
15354a991526
hex1e05f82d80

128949169536 has 960 divisors, whose sum is σ = 455019919200. Its totient is φ = 36130406400.

The previous prime is 128949169529. The next prime is 128949169549. The reversal of 128949169536 is 635961949821.

128949169536 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 4 + 91 + 6 + 9 + 536 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1183019850 + ... + 1183019958.

Almost surely, 2128949169536 is an apocalyptic number.

128949169536 is a gapful number since it is divisible by the number (16) 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 128949169536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227509959600).

128949169536 is an abundant number, since it is smaller than the sum of its proper divisors (326070749664).

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

128949169536 is a wasteful number, since it uses less digits than its factorization.

128949169536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 189 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The spelling of 128949169536 in words is "one hundred twenty-eight billion, nine hundred forty-nine million, one hundred sixty-nine thousand, five hundred thirty-six".