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20683193310 = 232513172334463
BaseRepresentation
bin10011010000110100…
…000111101111011110
31222101110002002021200
4103100310013233132
5314324344141220
613300212340330
71331356146063
oct232064075736
958343062250
1020683193310
11885413a29a
1240129146a6
131c480b1230
141002d26c6a
15810c1d890
hex4d0d07bde

20683193310 has 192 divisors, whose sum is σ = 61596557568. Its totient is φ = 4770127872.

The previous prime is 20683193287. The next prime is 20683193347. The reversal of 20683193310 is 1339138602.

20683193310 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 319 + 331 + 0 = 666.

It is a super-2 number, since 2×206831933102 (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 4632139 + ... + 4636601.

It is an arithmetic number, because the mean of its divisors is an integer number (320815404).

Almost surely, 220683193310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20683193310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30798278784).

20683193310 is an abundant number, since it is smaller than the sum of its proper divisors (40913364258).

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

20683193310 is a wasteful number, since it uses less digits than its factorization.

20683193310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739 (or 4736 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 20683193310 in words is "twenty billion, six hundred eighty-three million, one hundred ninety-three thousand, three hundred ten".