Search a number
-
+
95439472128 = 293471131319
BaseRepresentation
bin101100011100010100…
…0101100011000000000
3100010100100012112010000
41120320220230120000
53030430001102003
6111502211040000
76616036061610
oct1307050543000
9303310175100
1095439472128
1137526104000
12165b65a0000
138ccca32940
1448954baa40
152738b921a3
hex1638a2c600

95439472128 has 1600 divisors, whose sum is σ = 405929018880. Its totient is φ = 21678243840.

The previous prime is 95439472097. The next prime is 95439472229. The reversal of 95439472128 is 82127493459.

95439472128 is a `hidden beast` number, since 9 + 5 + 43 + 9 + 472 + 128 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5023130103 + ... + 5023130121.

Almost surely, 295439472128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95439472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202964509440).

95439472128 is an abundant number, since it is smaller than the sum of its proper divisors (310489546752).

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

95439472128 is a wasteful number, since it uses less digits than its factorization.

95439472128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 55 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 95439472128 in words is "ninety-five billion, four hundred thirty-nine million, four hundred seventy-two thousand, one hundred twenty-eight".