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196312596480 = 21532572111319
BaseRepresentation
bin1011011011010100100…
…1001000000000000000
3200202201100210011210200
42312311021020000000
511204022011041410
6230103524125200
720116544352300
oct2666511100000
9622640704720
10196312596480
117628a385380
1232068836800
13156873b8bc0
14970449d600
15518e89a3c0
hex2db5248000

196312596480 has 2304 divisors, whose sum is σ = 978998529600. Its totient is φ = 35672555520.

The previous prime is 196312596419. The next prime is 196312596511. The reversal of 196312596480 is 84695213691.

196312596480 is a `hidden beast` number, since 1 + 9 + 6 + 3 + 1 + 2 + 596 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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, 10332241911 + ... + 10332241929.

Almost surely, 2196312596480 is an apocalyptic number.

196312596480 is a gapful number since it is divisible by the number (10) 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 196312596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489499264800).

196312596480 is an abundant number, since it is smaller than the sum of its proper divisors (782685933120).

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

196312596480 is a wasteful number, since it uses less digits than its factorization.

196312596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 196312596480 in words is "one hundred ninety-six billion, three hundred twelve million, five hundred ninety-six thousand, four hundred eighty".