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201494336680 = 235721317465173
BaseRepresentation
bin1011101110100111111…
…1111001010010101000
3201021002111010212001101
42323221333321102220
511300130022233210
6232322030531144
720362134413500
oct2735177712250
9637074125041
10201494336680
11784a933349a
1233074066ab4
1316001aaa770
149a7674ca00
155394750a3a
hex2ee9ff94a8

201494336680 has 192 divisors, whose sum is σ = 601358340240. Its totient is φ = 60018352128.

The previous prime is 201494336677. The next prime is 201494336707. The reversal of 201494336680 is 86633494102.

It can be written as a sum of positive squares in 8 ways, for example, as 151487537796 + 50006798884 = 389214^2 + 223622^2 .

It is a super-2 number, since 2×2014943366802 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201494336680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200574 + ... + 665746.

Almost surely, 2201494336680 is an apocalyptic number.

201494336680 is a gapful number since it is divisible by the number (20) 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 201494336680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300679170120).

201494336680 is an abundant number, since it is smaller than the sum of its proper divisors (399864003560).

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

201494336680 is a wasteful number, since it uses less digits than its factorization.

201494336680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465228 (or 465217 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 201494336680 in words is "two hundred one billion, four hundred ninety-four million, three hundred thirty-six thousand, six hundred eighty".