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96343193664 = 26384792
BaseRepresentation
bin101100110111010000…
…0000111100001000000
3100012200022201100000000
41121232200013201000
53034302324144124
6112132013000000
76650321430354
oct1315640074100
9305608640000
1096343193664
113794a248403
1216809183000
139115030203
14493d525464
15278d1a66c9
hex166e807840

96343193664 has 189 divisors, whose sum is σ = 287356875247. Its totient is φ = 32047353216.

The previous prime is 96343193651. The next prime is 96343193719. The reversal of 96343193664 is 46639134369.

The square root of 96343193664 is 310392.

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

96343193664 is a `hidden beast` number, since 9 + 63 + 431 + 93 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 96343193664.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 201133777 + ... + 201134255.

Almost surely, 296343193664 is an apocalyptic number.

96343193664 is the 310392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96343193664

96343193664 is an abundant number, since it is smaller than the sum of its proper divisors (191013681583).

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

96343193664 is an frugal number, since it uses more digits than its factorization.

96343193664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 484 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 54.

The spelling of 96343193664 in words is "ninety-six billion, three hundred forty-three million, one hundred ninety-three thousand, six hundred sixty-four".