Search a number
-
+
96330366720 = 2833571759397
BaseRepresentation
bin101100110110110111…
…1001011111100000000
3100012122102120122202000
41121231233023330000
53034241033213340
6112130434024000
76650104415130
oct1315557137400
9305572518660
1096330366720
1137942a87325
1216804a18000
13911248b9c3
14493b946ac0
15278bec0d30
hex166dbcbf00

96330366720 has 1152 divisors, whose sum is σ = 421724620800. Its totient is φ = 20320616448.

The previous prime is 96330366709. The next prime is 96330366739. The reversal of 96330366720 is 2766303369.

96330366720 is a `hidden beast` number, since 9 + 633 + 0 + 3 + 6 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 242645562 + ... + 242645958.

It is an arithmetic number, because the mean of its divisors is an integer number (366080400).

Almost surely, 296330366720 is an apocalyptic number.

96330366720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96330366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210862310400).

96330366720 is an abundant number, since it is smaller than the sum of its proper divisors (325394254080).

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

96330366720 is a wasteful number, since it uses less digits than its factorization.

96330366720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 96330366720 in words is "ninety-six billion, three hundred thirty million, three hundred sixty-six thousand, seven hundred twenty".