Search a number
-
+
96122703360 = 2935127139709
BaseRepresentation
bin101100110000101011…
…1000000111000000000
3100012002221211021011110
41121201113000320000
53033324403001420
6112054055043320
76642003332445
oct1314127007000
9305087737143
1096122703360
113784683a812
1216767370540
1390ab450588
14491c12b9cc
152778b50ee0
hex16615c0e00

96122703360 has 320 divisors, whose sum is σ = 312380006400. Its totient is φ = 25212321792.

The previous prime is 96122703343. The next prime is 96122703371. The reversal of 96122703360 is 6330722169.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 135574686 + ... + 135575394.

It is an arithmetic number, because the mean of its divisors is an integer number (976187520).

Almost surely, 296122703360 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 96122703360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156190003200).

96122703360 is an abundant number, since it is smaller than the sum of its proper divisors (216257303040).

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

96122703360 is a wasteful number, since it uses less digits than its factorization.

96122703360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The spelling of 96122703360 in words is "ninety-six billion, one hundred twenty-two million, seven hundred three thousand, three hundred sixty".