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1680683613461 = 14331501778101
BaseRepresentation
bin11000011101010000100…
…011001011110100010101
312221200010201201201100022
4120131100203023310111
5210014020001112321
63324032334354525
7232265623000556
oct30352043136425
95850121651308
101680683613461
115988570a2476
1223188965ba45
13c2645880758
145b4ba17632d
152dab9ad9dab
hex187508cbd15

1680683613461 has 8 divisors (see below), whose sum is σ = 1681989988824. Its totient is φ = 1679377427200.

The previous prime is 1680683613421. The next prime is 1680683613467. The reversal of 1680683613461 is 1643163860861.

It can be written as a sum of positive squares in 4 ways, for example, as 673006936900 + 1007676676561 = 820370^2 + 1003831^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1680683613461 - 26 = 1680683613397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680683613467) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 21480311 + ... + 21558411.

It is an arithmetic number, because the mean of its divisors is an integer number (210248748603).

Almost surely, 21680683613461 is an apocalyptic number.

It is an amenable number.

1680683613461 is a deficient number, since it is larger than the sum of its proper divisors (1306375363).

1680683613461 is a wasteful number, since it uses less digits than its factorization.

1680683613461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94551.

The product of its (nonzero) digits is 2985984, while the sum is 53.

The spelling of 1680683613461 in words is "one trillion, six hundred eighty billion, six hundred eighty-three million, six hundred thirteen thousand, four hundred sixty-one".

Divisors: 1 1433 15017 78101 21519361 111918733 1172842717 1680683613461