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196246955520 = 2935571117241
BaseRepresentation
bin1011011011000100111…
…0101110011000000000
3200202112210021021100000
42312301032232120000
511203403210034040
6230053221200000
720115116412240
oct2666116563000
9622483237300
10196246955520
1176256321350
123204a860000
13156769154b5
1496d9893b20
155188c31130
hex2db13ae600

196246955520 has 1920 divisors, whose sum is σ = 934302200832. Its totient is φ = 38220595200.

The previous prime is 196246955477. The next prime is 196246955549. The reversal of 196246955520 is 25559642691.

196246955520 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 4 + 69 + 55 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 814302600 + ... + 814302840.

Almost surely, 2196246955520 is an apocalyptic number.

196246955520 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 196246955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467151100416).

196246955520 is an abundant number, since it is smaller than the sum of its proper divisors (738055245312).

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

196246955520 is a wasteful number, since it uses less digits than its factorization.

196246955520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 196246955520 in words is "one hundred ninety-six billion, two hundred forty-six million, nine hundred fifty-five thousand, five hundred twenty".