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1681839381816 = 2332119721892109
BaseRepresentation
bin11000011110010101011…
…100000101110100111000
312221210010021111211110200
4120132111130011310320
5210023401340204231
63324343142442200
7232336355604606
oct30362534056470
95853107454420
101681839381816
1159929a538330
12231b50733360
13c279b159259
145b589870876
152db362d9be6
hex18795705d38

1681839381816 has 96 divisors (see below), whose sum is σ = 5020298665200. Its totient is φ = 504394168320.

The previous prime is 1681839381787. The next prime is 1681839381829. The reversal of 1681839381816 is 6181839381861.

1681839381816 is a `hidden beast` number, since 1 + 68 + 1 + 8 + 393 + 8 + 181 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10869231 + ... + 11022878.

Almost surely, 21681839381816 is an apocalyptic number.

It is an amenable number.

1681839381816 is an abundant number, since it is smaller than the sum of its proper divisors (3338459283384).

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

1681839381816 is a wasteful number, since it uses less digits than its factorization.

1681839381816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21892229 (or 21892222 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 63.

The spelling of 1681839381816 in words is "one trillion, six hundred eighty-one billion, eight hundred thirty-nine million, three hundred eighty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 97 99 132 194 198 264 291 388 396 582 776 792 873 1067 1164 1746 2134 2328 3201 3492 4268 6402 6984 8536 9603 12804 19206 25608 38412 76824 21892109 43784218 65676327 87568436 131352654 175136872 197028981 240813199 262705308 394057962 481626398 525410616 722439597 788115924 963252796 1444879194 1576231848 1926505592 2123534573 2167318791 2889758388 4247069146 4334637582 5779516776 6370603719 8494138292 8669275164 12741207438 16988276584 17338550328 19111811157 23358880303 25482414876 38223622314 46717760606 50964829752 70076640909 76447244628 93435521212 140153281818 152894489256 186871042424 210229922727 280306563636 420459845454 560613127272 840919690908 1681839381816