Search a number
-
+
96922632976 = 2413259872
BaseRepresentation
bin101101001000100001…
…0100000001100010000
3100021011201000220022021
41122101002200030100
53041444143223401
6112305312221224
710000555533661
oct1322102401420
9307151026267
1096922632976
1138117332774
121694b23a814
1391a80aa400
144996479368
1527c3eb22a1
hex16910a0310

96922632976 has 45 divisors (see below), whose sum is σ = 203377940661. Its totient is φ = 44726051136.

The previous prime is 96922632959. The next prime is 96922632991. The reversal of 96922632976 is 67923622969.

The square root of 96922632976 is 311324.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14337667600 + 82584965376 = 119740^2 + 287376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16185855 + ... + 16191841.

Almost surely, 296922632976 is an apocalyptic number.

96922632976 is the 311324-th square number.

It is an amenable number.

96922632976 is an abundant number, since it is smaller than the sum of its proper divisors (106455307685).

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

96922632976 is an frugal number, since it uses more digits than its factorization.

96922632976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12008 (or 6002 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 61.

The spelling of 96922632976 in words is "ninety-six billion, nine hundred twenty-two million, six hundred thirty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 5987 11974 23948 47896 77831 95792 155662 311324 622648 1011803 1245296 2023606 4047212 8094424 16188848 35844169 71688338 143376676 286753352 465974197 573506704 931948394 1863896788 3727793576 6057664561 7455587152 12115329122 24230658244 48461316488 96922632976