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196585238720 = 26513374131151
BaseRepresentation
bin1011011100010101100…
…1001011000011000000
3200210102100210211122102
42313011121023003000
511210101310114340
6230150543525532
720126364646523
oct2670531130300
9623370724572
10196585238720
117640a273542
1232123bb98a8
13156cba28580
14972c790bba
1551a87a3215
hex2dc564b0c0

196585238720 has 224 divisors, whose sum is σ = 530397939456. Its totient is φ = 68898816000.

The previous prime is 196585238711. The next prime is 196585238789. The reversal of 196585238720 is 27832585691.

It is a happy number.

196585238720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6295145 + ... + 6326295.

It is an arithmetic number, because the mean of its divisors is an integer number (2367847944).

Almost surely, 2196585238720 is an apocalyptic number.

196585238720 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 196585238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265198969728).

196585238720 is an abundant number, since it is smaller than the sum of its proper divisors (333812700736).

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

196585238720 is a wasteful number, since it uses less digits than its factorization.

196585238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31259 (or 31249 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 56.

The spelling of 196585238720 in words is "one hundred ninety-six billion, five hundred eighty-five million, two hundred thirty-eight thousand, seven hundred twenty".