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196857018624 = 283732973353
BaseRepresentation
bin1011011101010110010…
…1111011100100000000
3200211010022012200120210
42313111211323210000
511211130344043444
6230233533034120
720136205023000
oct2672545734400
9624108180523
10196857018624
1176539722832
123219b025940
1315743125596
1497568da000
1551c258a7b9
hex2dd597b900

196857018624 has 576 divisors, whose sum is σ = 642535488000. Its totient is φ = 53409742848.

The previous prime is 196857018613. The next prime is 196857018641. The reversal of 196857018624 is 426810758691.

196857018624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 557668432 + ... + 557668784.

It is an arithmetic number, because the mean of its divisors is an integer number (1115513000).

Almost surely, 2196857018624 is an apocalyptic number.

196857018624 is a gapful number since it is divisible by the number (14) 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 196857018624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321267744000).

196857018624 is an abundant number, since it is smaller than the sum of its proper divisors (445678469376).

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

196857018624 is an equidigital number, since it uses as much as digits as its factorization.

196857018624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 196857018624 in words is "one hundred ninety-six billion, eight hundred fifty-seven million, eighteen thousand, six hundred twenty-four".