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186993202399681 = 5961397543724071
BaseRepresentation
bin101010100001000110111111…
…011001111000100111000001
3220112002101010210020122200011
4222201012333121320213001
5144002144034303242211
61501411254040424521
754246545606014306
oct5241067731704701
9815071123218604
10186993202399681
115464440a940957
1218b80651178141
1380454ca215172
14342673accb0ad
1516941c7c6d921
hexaa11bf6789c1

186993202399681 has 32 divisors (see below), whose sum is σ = 193810539260160. Its totient is φ = 180314216121600.

The previous prime is 186993202399643. The next prime is 186993202399739.

186993202399681 is nontrivially palindromic in base 10.

186993202399681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 186993202399681 - 215 = 186993202366913 is a prime.

It is a super-2 number, since 2×1869932023996812 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 186993202399598 and 186993202399607.

It is not an unprimeable number, because it can be changed into a prime (186993202399981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7768389876 + ... + 7768413946.

It is an arithmetic number, because the mean of its divisors is an integer number (6056579351880).

Almost surely, 2186993202399681 is an apocalyptic number.

It is an amenable number.

186993202399681 is a deficient number, since it is larger than the sum of its proper divisors (6817336860479).

186993202399681 is a wasteful number, since it uses less digits than its factorization.

186993202399681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30025.

The product of its (nonzero) digits is 544195584, while the sum is 76.

The spelling of 186993202399681 in words is "one hundred eighty-six trillion, nine hundred ninety-three billion, two hundred two million, three hundred ninety-nine thousand, six hundred eighty-one".

Divisors: 1 59 61 397 3599 5437 23423 24071 24217 320783 331657 1420189 1428803 1468331 2158489 9556187 19567763 86631529 127350851 130874027 131667829 563815033 582927407 7721567593 7768401911 7983315647 34392717013 51956988719 471015623173 3065462334421 3169376311859 186993202399681