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2186888000661 = 3271313923518171
BaseRepresentation
bin11111110100101100101…
…011101011010010010101
321202001201222120221210100
4133310230223223102111
5241312221312010121
64352350435244313
7313666060204530
oct37645453532225
97661658527710
102186888000661
117734aa29a8a1
122b3a00449699
1312b2b8229450
1477bbb3ada17
153bd4527a026
hex1fd2caeb495

2186888000661 has 96 divisors (see below), whose sum is σ = 3917915688960. Its totient is φ = 1144597392000.

The previous prime is 2186888000639. The next prime is 2186888000669. The reversal of 2186888000661 is 1660008886812.

It is not a de Polignac number, because 2186888000661 - 213 = 2186887992469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2186888000598 and 2186888000607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2186888000669) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267636106 + ... + 267644276.

It is an arithmetic number, because the mean of its divisors is an integer number (40811621760).

Almost surely, 22186888000661 is an apocalyptic number.

2186888000661 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2186888000661 is a deficient number, since it is larger than the sum of its proper divisors (1731027688299).

2186888000661 is a wasteful number, since it uses less digits than its factorization.

2186888000661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10687 (or 10684 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 2186888000661 in words is "two trillion, one hundred eighty-six billion, eight hundred eighty-eight million, six hundred sixty-one", and thus it is an aban number.

Divisors: 1 3 7 9 13 21 39 63 91 117 139 273 417 819 973 1251 1807 2351 2919 5421 7053 8171 8757 12649 16263 16457 21159 24513 30563 37947 49371 57197 73539 91689 106223 113841 148113 171591 213941 275067 318669 326789 514773 641823 743561 956007 980367 1135769 1925469 2230683 2287523 2941101 3407307 4248257 6692049 6862569 7950383 10221921 12744771 14764997 19210021 20587707 23851149 29737799 38234313 44294991 57630063 71553447 89213397 103354979 132884973 134470147 172890189 249730273 267640191 310064937 403410441 749190819 930194811 1210231323 1748111911 2247572457 2670192919 5244335733 8010578757 15733007199 18691350433 24031736271 34712507947 56074051299 104137523841 168222153897 242987555629 312412571523 728962666887 2186888000661