Search a number
-
+
96470599680 = 21132571311503
BaseRepresentation
bin101100111011000011…
…0001000100000000000
3100020000012110020012100
41121312012020200000
53040032433142210
6112152403430400
76653426365440
oct1316606104000
9306005406170
1096470599680
1137a05158434
1216843985400
13913554b0a0
14495240c120
1527994715c0
hex1676188800

96470599680 has 576 divisors, whose sum is σ = 411543175680. Its totient is φ = 20352466944.

The previous prime is 96470599679. The next prime is 96470599721. The reversal of 96470599680 is 8699507469.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×964705996802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8380809 + ... + 8392311.

It is an arithmetic number, because the mean of its divisors is an integer number (714484680).

Almost surely, 296470599680 is an apocalyptic number.

96470599680 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 96470599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205771587840).

96470599680 is an abundant number, since it is smaller than the sum of its proper divisors (315072576000).

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

96470599680 is a wasteful number, since it uses less digits than its factorization.

96470599680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11556 (or 11533 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 96470599680 in words is "ninety-six billion, four hundred seventy million, five hundred ninety-nine thousand, six hundred eighty".