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1681951630536 = 23321710912606821
BaseRepresentation
bin11000011110011100001…
…000010010010011001000
312221210102002201122202200
4120132130020102103020
5210024114104134121
63324402232400200
7232342220653422
oct30363410222310
95853362648680
101681951630536
11599347935471
12231b82246060
13c27b849b008
145b59a72d812
152db410ada26
hex1879c2124c8

1681951630536 has 96 divisors (see below), whose sum is σ = 4867493974200. Its totient is φ = 522830039040.

The previous prime is 1681951630531. The next prime is 1681951630559. The reversal of 1681951630536 is 6350361591861.

1681951630536 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 95 + 16 + 3 + 0 + 536 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1649411078436 + 32540552100 = 1284294^2 + 180390^2 .

It is a super-2 number, since 2×16819516305362 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1681951630531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6169995 + ... + 6436826.

Almost surely, 21681951630536 is an apocalyptic number.

It is an amenable number.

1681951630536 is an abundant number, since it is smaller than the sum of its proper divisors (3185542343664).

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

1681951630536 is a wasteful number, since it uses less digits than its factorization.

1681951630536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12606959 (or 12606952 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 1681951630536 in words is "one trillion, six hundred eighty-one billion, nine hundred fifty-one million, six hundred thirty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 109 136 153 204 218 306 327 408 436 612 654 872 981 1224 1308 1853 1962 2616 3706 3924 5559 7412 7848 11118 14824 16677 22236 33354 44472 66708 133416 12606821 25213642 37820463 50427284 75640926 100854568 113461389 151281852 214315957 226922778 302563704 428631914 453845556 642947871 857263828 907691112 1285895742 1374143489 1714527656 1928843613 2571791484 2748286978 3857687226 4122430467 5143582968 5496573956 7715374452 8244860934 10993147912 12367291401 15430748904 16489721868 23360439313 24734582802 32979443736 46720878626 49469165604 70081317939 93441757252 98938331208 140162635878 186883514504 210243953817 280325271756 420487907634 560650543512 840975815268 1681951630536