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20493736704 = 2832729431019
BaseRepresentation
bin10011000101100001…
…011001101100000000
31221220020120200200100
4103011201121230000
5313432344033304
613225323522400
71323565613340
oct230541315400
957806520610
1020493736704
1187671a8791
123b7b389400
131c17a78c2c
14dc5acad20
157ee298439
hex4c5859b00

20493736704 has 432 divisors, whose sum is σ = 71553081600. Its totient is φ = 5516550144.

The previous prime is 20493736633. The next prime is 20493736721. The reversal of 20493736704 is 40763739402.

20493736704 is a `hidden beast` number, since 20 + 493 + 73 + 6 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20493736704.

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 47 ways as a sum of consecutive naturals, for example, 20111107 + ... + 20112125.

Almost surely, 220493736704 is an apocalyptic number.

20493736704 is a gapful number since it is divisible by the number (24) 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 20493736704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35776540800).

20493736704 is an abundant number, since it is smaller than the sum of its proper divisors (51059344896).

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

20493736704 is a wasteful number, since it uses less digits than its factorization.

20493736704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 20493736704 in words is "twenty billion, four hundred ninety-three million, seven hundred thirty-six thousand, seven hundred four".