Search a number
-
+
95133742752 = 2532934171603
BaseRepresentation
bin101100010011001101…
…0011011011010100000
3100002120000220212020210
41120212122123122200
53024313214232002
6111412010134120
76605334320406
oct1304632333240
9302500825223
1095133742752
1137389576aa4
1216530121340
138c815aa099
144866a55476
15271be0096c
hex162669b6a0

95133742752 has 48 divisors (see below), whose sum is σ = 258337326240. Its totient is φ = 30617755392.

The previous prime is 95133742751. The next prime is 95133742757. The reversal of 95133742752 is 25724733159.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (95133742751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17083018 + ... + 17088585.

It is an arithmetic number, because the mean of its divisors is an integer number (5382027630).

Almost surely, 295133742752 is an apocalyptic number.

It is an amenable number.

95133742752 is an abundant number, since it is smaller than the sum of its proper divisors (163203583488).

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

95133742752 is a wasteful number, since it uses less digits than its factorization.

95133742752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34171645 (or 34171637 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 48.

The spelling of 95133742752 in words is "ninety-five billion, one hundred thirty-three million, seven hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 34171603 68343206 102514809 136686412 205029618 273372824 410059236 546745648 820118472 990976487 1093491296 1640236944 1981952974 2972929461 3280473888 3963905948 5945858922 7927811896 11891717844 15855623792 23783435688 31711247584 47566871376 95133742752