Search a number
-
+
95579731968 = 2113771113277
BaseRepresentation
bin101100100000011111…
…1101111100000000000
3100010201010010110102220
41121000333233200000
53031221402410333
6111524141211040
76622361213460
oct1310077574000
9303633113386
1095579731968
11375982a3326
1216635560a80
139022b01326
1448a9d8bba0
15274614a8b3
hex1640fef800

95579731968 has 384 divisors, whose sum is σ = 299010216960. Its totient is φ = 26589265920.

The previous prime is 95579731913. The next prime is 95579731987. The reversal of 95579731968 is 86913797559.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345053046 + ... + 345053322.

It is an arithmetic number, because the mean of its divisors is an integer number (778672440).

Almost surely, 295579731968 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 95579731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149505108480).

95579731968 is an abundant number, since it is smaller than the sum of its proper divisors (203430484992).

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

95579731968 is a wasteful number, since it uses less digits than its factorization.

95579731968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 473 counting only the distinct ones).

The product of its digits is 128595600, while the sum is 69.

The spelling of 95579731968 in words is "ninety-five billion, five hundred seventy-nine million, seven hundred thirty-one thousand, nine hundred sixty-eight".