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1680016961696 = 25411280500733
BaseRepresentation
bin11000011100101000110…
…100000111000010100000
312221121102021022022001012
4120130220310013002200
5210011133320233241
63323442242000052
7232243246361453
oct30345064070240
95847367268035
101680016961696
115985448600a7
12231722346028
13c256a719358
145b4557dd49a
152da7b3036eb
hex18728d070a0

1680016961696 has 24 divisors (see below), whose sum is σ = 3388204942164. Its totient is φ = 819520468480.

The previous prime is 1680016961681. The next prime is 1680016961699. The reversal of 1680016961696 is 6961696100861.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1675523136400 + 4493825296 = 1294420^2 + 67036^2 .

It is not an unprimeable number, because it can be changed into a prime (1680016961699) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 640249055 + ... + 640251678.

Almost surely, 21680016961696 is an apocalyptic number.

1680016961696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1680016961696 is an abundant number, since it is smaller than the sum of its proper divisors (1708187980468).

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

1680016961696 is a wasteful number, since it uses less digits than its factorization.

1680016961696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280500784 (or 1280500776 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 59.

The spelling of 1680016961696 in words is "one trillion, six hundred eighty billion, sixteen million, nine hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 1280500733 2561001466 5122002932 10244005864 20488011728 40976023456 52500530053 105001060106 210002120212 420004240424 840008480848 1680016961696