Search a number
-
+
972042441328 = 2478819851249
BaseRepresentation
bin11100010010100100011…
…11101001001001110000
310102221000022100021220001
432021102033221021300
5111411220331110303
62022314454555344
7130141055265430
oct16112217511160
93387008307801
10972042441328
11345271687302
1213847b068b54
13708810ba90a
14350933842c0
151a4420d531d
hexe2523e9270

972042441328 has 40 divisors (see below), whose sum is σ = 2154823020000. Its totient is φ = 416116715520.

The previous prime is 972042441323. The next prime is 972042441341. The reversal of 972042441328 is 823144240279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972042441323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4826953 + ... + 5024296.

It is an arithmetic number, because the mean of its divisors is an integer number (53870575500).

Almost surely, 2972042441328 is an apocalyptic number.

It is an amenable number.

972042441328 is an abundant number, since it is smaller than the sum of its proper divisors (1182780578672).

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

972042441328 is a wasteful number, since it uses less digits than its factorization.

972042441328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9852145 (or 9852139 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 972042441328 in words is "nine hundred seventy-two billion, forty-two million, four hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 881 1762 3524 6167 7048 12334 14096 24668 49336 98672 9851249 19702498 39404996 68958743 78809992 137917486 157619984 275834972 551669944 1103339888 8678950369 17357900738 34715801476 60752652583 69431602952 121505305166 138863205904 243010610332 486021220664 972042441328