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1916340073753 = 72829223721089
BaseRepresentation
bin11011111000101110110…
…001001111010100011001
320210012102000221021000011
4123320232301033110121
5222344131024330003
64024204322241521
7255310456602400
oct33705661172431
96705360837004
101916340073753
11679796015a76
1226b4964b62a1
1310b9300c9c31
1468a73a06637
1534cad56146d
hex1be2ec4f519

1916340073753 has 24 divisors (see below), whose sum is σ = 2233004560200. Its totient is φ = 1639784659968.

The previous prime is 1916340073729. The next prime is 1916340073793. The reversal of 1916340073753 is 3573700436191.

It can be written as a sum of positive squares in 4 ways, for example, as 1224537001744 + 691803072009 = 1106588^2 + 831747^2 .

It is not a de Polignac number, because 1916340073753 - 221 = 1916337976601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1916340073697 and 1916340073706.

It is not an unprimeable number, because it can be changed into a prime (1916340073793) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 90858633 + ... + 90879721.

It is an arithmetic number, because the mean of its divisors is an integer number (93041856675).

Almost surely, 21916340073753 is an apocalyptic number.

It is an amenable number.

1916340073753 is a deficient number, since it is larger than the sum of its proper divisors (316664486447).

1916340073753 is a wasteful number, since it uses less digits than its factorization.

1916340073753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24169 (or 24162 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 49.

The spelling of 1916340073753 in words is "one trillion, nine hundred sixteen billion, three hundred forty million, seventy-three thousand, seven hundred fifty-three".

Divisors: 1 7 49 829 2237 5803 15659 21089 40621 109613 147623 1033361 1854473 12981311 17482781 47176093 90869177 122379467 330232651 856656269 2311628557 39108981097 273762867679 1916340073753