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196346066256 = 2433454504783
BaseRepresentation
bin1011011011011100100…
…0110011010101010000
3200202210200202121201000
42312313020303111100
511204104043110011
6230111121342000
720120432011644
oct2666710632520
9622720677630
10196346066256
11762a726574a
1232077a97900
13156913072c2
149708ad2c24
1551927ac356
hex2db7233550

196346066256 has 40 divisors (see below), whose sum is σ = 563585932160. Its totient is φ = 65448688608.

The previous prime is 196346066239. The next prime is 196346066281. The reversal of 196346066256 is 652660643691.

196346066256 is a `hidden beast` number, since 1 + 9 + 6 + 3 + 4 + 6 + 0 + 6 + 625 + 6 = 666.

196346066256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 227251960 + ... + 227252823.

It is an arithmetic number, because the mean of its divisors is an integer number (14089648304).

Almost surely, 2196346066256 is an apocalyptic number.

196346066256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

196346066256 is an abundant number, since it is smaller than the sum of its proper divisors (367239865904).

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

196346066256 is a wasteful number, since it uses less digits than its factorization.

196346066256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454504800 (or 454504788 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 196346066256 in words is "one hundred ninety-six billion, three hundred forty-six million, sixty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 454504783 909009566 1363514349 1818019132 2727028698 3636038264 4090543047 5454057396 7272076528 8181086094 10908114792 12271629141 16362172188 21816229584 24543258282 32724344376 49086516564 65448688752 98173033128 196346066256