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1680547106682 = 23210743112131669
BaseRepresentation
bin11000011101001000011…
…010011100111101111010
312221122210012212110020200
4120131020122130331322
5210013230024403212
63324011020503030
7232262344466613
oct30351032347572
95848705773220
101680547106682
11598797036954
1223184b9aaa76
13c26234c7402
145b4a5da0c0a
152daacb236dc
hex1874869cf7a

1680547106682 has 96 divisors (see below), whose sum is σ = 3688988209920. Its totient is φ = 552871543680.

The previous prime is 1680547106663. The next prime is 1680547106747. The reversal of 1680547106682 is 2866017450861.

1680547106682 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 547 + 10 + 6 + 6 + 82 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1006917744 + ... + 1006919412.

It is an arithmetic number, because the mean of its divisors is an integer number (38426960520).

Almost surely, 21680547106682 is an apocalyptic number.

1680547106682 is an abundant number, since it is smaller than the sum of its proper divisors (2008441103238).

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

1680547106682 is a wasteful number, since it uses less digits than its factorization.

1680547106682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1680547106682 in words is "one trillion, six hundred eighty billion, five hundred forty-seven million, one hundred six thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 107 214 321 431 642 862 963 1213 1293 1669 1926 2426 2586 3338 3639 3879 5007 7278 7758 10014 10917 15021 21834 30042 46117 92234 129791 138351 178583 259582 276702 357166 389373 415053 522803 535749 719339 778746 830106 1045606 1071498 1168119 1438678 1568409 1607247 2024497 2158017 2336238 3136818 3214494 4048994 4316034 4705227 6073491 6474051 9410454 12146982 12948102 18220473 36440946 55939921 76969273 111879842 153938546 167819763 216621179 230907819 335639526 433242358 461815638 503459289 649863537 692723457 872558207 1006918578 1299727074 1385446914 1745116414 1949590611 2617674621 3899181222 5235349242 7853023863 15706047726 93363728149 186727456298 280091184447 560182368894 840273553341 1680547106682