Search a number
-
+
96016354560 = 283357231259
BaseRepresentation
bin101100101101100000…
…1010100110100000000
3100011211112201012001000
41121123001110310000
53033120141321220
6112035335412000
76636242355600
oct1313301246400
9304745635030
1096016354560
11377a1802345
1216737824000
1390923c60a9
14490bd66c00
15276e645390
hex165b054d00

96016354560 has 1296 divisors, whose sum is σ = 416492798400. Its totient is φ = 20878663680.

The previous prime is 96016354541. The next prime is 96016354571. The reversal of 96016354560 is 6545361069.

96016354560 is a `hidden beast` number, since 9 + 6 + 0 + 1 + 635 + 4 + 5 + 6 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 1627395811 + ... + 1627395869.

It is an arithmetic number, because the mean of its divisors is an integer number (321367900).

Almost surely, 296016354560 is an apocalyptic number.

96016354560 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 96016354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208246399200).

96016354560 is an abundant number, since it is smaller than the sum of its proper divisors (320476443840).

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

96016354560 is a wasteful number, since it uses less digits than its factorization.

96016354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 96016354560 in words is "ninety-six billion, sixteen million, three hundred fifty-four thousand, five hundred sixty".