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96373621344 = 253711134383281
BaseRepresentation
bin101100111000001010…
…0001100001001100000
3100012202102222012221010
41121300110030021200
53034333121340334
6112135021100520
76651141156660
oct1316024141140
9305672865833
1096373621344
1137965440150
12168173b7740
13911b424a60
1449435a61a0
152790bb70e9
hex167050c260

96373621344 has 768 divisors, whose sum is σ = 353005019136. Its totient is φ = 22217932800.

The previous prime is 96373621297. The next prime is 96373621363. The reversal of 96373621344 is 44312637369.

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

It is a junction number, because it is equal to n+sod(n) for n = 96373621293 and 96373621302.

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 127 ways as a sum of consecutive naturals, for example, 342966484 + ... + 342966764.

It is an arithmetic number, because the mean of its divisors is an integer number (459641952).

Almost surely, 296373621344 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 96373621344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176502509568).

96373621344 is an abundant number, since it is smaller than the sum of its proper divisors (256631397792).

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

96373621344 is a wasteful number, since it uses less digits than its factorization.

96373621344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 443 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 48.

It can be divided in two parts, 96373 and 621344, that added together give a palindrome (717717).

The spelling of 96373621344 in words is "ninety-six billion, three hundred seventy-three million, six hundred twenty-one thousand, three hundred forty-four".