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19493360640 = 2103351310847
BaseRepresentation
bin10010001001111001…
…010001010000000000
31212022112012022201000
4102021321101100000
5304410300020030
612542150212000
71260030555135
oct221171212000
955275168630
1019493360640
1182a3548406
123940354000
131ab8739830
14d2ccc258c
15791540860
hex489e51400

19493360640 has 352 divisors, whose sum is σ = 74611676160. Its totient is φ = 4797923328.

The previous prime is 19493360603. The next prime is 19493360693. The reversal of 19493360640 is 4606339491.

19493360640 is a `hidden beast` number, since 1 + 9 + 4 + 9 + 33 + 606 + 4 + 0 = 666.

It is a super-2 number, since 2×194933606402 (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1791697 + ... + 1802543.

Almost surely, 219493360640 is an apocalyptic number.

19493360640 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 19493360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37305838080).

19493360640 is an abundant number, since it is smaller than the sum of its proper divisors (55118315520).

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

19493360640 is a wasteful number, since it uses less digits than its factorization.

19493360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10894 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 19493360640 in words is "nineteen billion, four hundred ninety-three million, three hundred sixty thousand, six hundred forty".