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96935720000 = 265472192137
BaseRepresentation
bin101101001000111010…
…0011011010001000000
3100021012121122210022212
41122101310123101000
53042011021020000
6112310500521252
710001105011400
oct1322164332100
9307177583285
1096935720000
1138123761199
12169536b0228
1391aaa10102
1449980c4800
1527c51e9c35
hex1691d1b440

96935720000 has 630 divisors, whose sum is σ = 297258082902. Its totient is φ = 31256064000.

The previous prime is 96935719949. The next prime is 96935720039. The reversal of 96935720000 is 2753969.

It can be written as a sum of positive squares in 5 ways, for example, as 33882501184 + 63053218816 = 184072^2 + 251104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 96935720000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 707559932 + ... + 707560068.

Almost surely, 296935720000 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 96935720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148629041451).

96935720000 is an abundant number, since it is smaller than the sum of its proper divisors (200322362902).

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

96935720000 is a wasteful number, since it uses less digits than its factorization.

96935720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 41.

The spelling of 96935720000 in words is "ninety-six billion, nine hundred thirty-five million, seven hundred twenty thousand".