Search a number
-
+
96576709320 = 233357133131699
BaseRepresentation
bin101100111110001101…
…0111010001011001000
3100020021121010011021000
41121330122322023020
53040242114144240
6112211114015000
76656155325130
oct1317432721310
9306247104230
1096576709320
1137a5a042153
1216873417460
139151520760
14496254dac0
1527a3931430
hex167c6ba2c8

96576709320 has 512 divisors, whose sum is σ = 409006080000. Its totient is φ = 19718691840.

The previous prime is 96576709301. The next prime is 96576709337. The reversal of 96576709320 is 2390767569.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3030831 + ... + 3062529.

It is an arithmetic number, because the mean of its divisors is an integer number (798840000).

Almost surely, 296576709320 is an apocalyptic number.

96576709320 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 96576709320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204503040000).

96576709320 is an abundant number, since it is smaller than the sum of its proper divisors (312429370680).

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

96576709320 is a wasteful number, since it uses less digits than its factorization.

96576709320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31770 (or 31760 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 96576709320 in words is "ninety-six billion, five hundred seventy-six million, seven hundred nine thousand, three hundred twenty".