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196253490312 = 23321133122131
BaseRepresentation
bin1011011011000110011…
…1101001110010001000
3200202120020120021101100
42312301213221302020
511203411343142222
6230054013221400
720115226100145
oct2666147516210
9622506507340
10196253490312
1176259a85000
1232050a91860
1315678092a39
1496da6b53cc
1551895c24ac
hex2db19e9c88

196253490312 has 288 divisors, whose sum is σ = 604382856480. Its totient is φ = 57525336000.

The previous prime is 196253490247. The next prime is 196253490317. The reversal of 196253490312 is 213094352691.

196253490312 is a `hidden beast` number, since 1 + 9 + 625 + 3 + 4 + 9 + 0 + 3 + 12 = 666.

196253490312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (196253490317) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 92093487 + ... + 92095617.

It is an arithmetic number, because the mean of its divisors is an integer number (2098551585).

Almost surely, 2196253490312 is an apocalyptic number.

196253490312 is a gapful number since it is divisible by the number (12) 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 196253490312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302191428240).

196253490312 is an abundant number, since it is smaller than the sum of its proper divisors (408129366168).

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

196253490312 is a wasteful number, since it uses less digits than its factorization.

196253490312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 196253490312 in words is "one hundred ninety-six billion, two hundred fifty-three million, four hundred ninety thousand, three hundred twelve".