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14083735680 = 27355717761
BaseRepresentation
bin11010001110111010…
…01100000010000000
31100100112000220100000
431013131030002000
5212320414020210
610245303200000
71006002530610
oct150735140200
940315026300
1014083735680
115a779a1083
122890746000
131435a79711
14978672a40
15576673ac0
hex34774c080

14083735680 has 768 divisors, whose sum is σ = 61109717760. Its totient is φ = 3025797120.

The previous prime is 14083735657. The next prime is 14083735741. The reversal of 14083735680 is 8653738041.

14083735680 is a `hidden beast` number, since 1 + 4 + 0 + 83 + 7 + 3 + 568 + 0 = 666.

It is a super-2 number, since 2×140837356802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18506500 + ... + 18507260.

It is an arithmetic number, because the mean of its divisors is an integer number (79569945).

Almost surely, 214083735680 is an apocalyptic number.

14083735680 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 14083735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30554858880).

14083735680 is an abundant number, since it is smaller than the sum of its proper divisors (47025982080).

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

14083735680 is an equidigital number, since it uses as much as digits as its factorization.

14083735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 14083735680 in words is "fourteen billion, eighty-three million, seven hundred thirty-five thousand, six hundred eighty".