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686416692 = 22313231131693
BaseRepresentation
bin101000111010011…
…110001100110100
31202211121120200110
4220322132030310
52401210313232
6152040143020
723003305563
oct5072361464
91684546613
10686416692
11322512025
12171a67a70
13ac294830
146723dbda
15403dcacc
hex28e9e334

686416692 has 96 divisors (see below), whose sum is σ = 1816835328. Its totient is φ = 200116224.

The previous prime is 686416651. The next prime is 686416729. The reversal of 686416692 is 296614686.

It is a happy number.

686416692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404598 + ... + 406290.

It is an arithmetic number, because the mean of its divisors is an integer number (18925368).

Almost surely, 2686416692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686416692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908417664).

686416692 is an abundant number, since it is smaller than the sum of its proper divisors (1130418636).

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

686416692 is a wasteful number, since it uses less digits than its factorization.

686416692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1847 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 686416692 is about 26199.5551870638. Note that the first 3 decimals coincide. The cubic root of 686416692 is about 882.1232698785.

The spelling of 686416692 in words is "six hundred eighty-six million, four hundred sixteen thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 113 138 156 226 276 299 339 452 598 678 897 1196 1356 1469 1693 1794 2599 2938 3386 3588 4407 5079 5198 5876 6772 7797 8814 10158 10396 15594 17628 20316 22009 31188 33787 38939 44018 66027 67574 77878 88036 101361 116817 132054 135148 155756 191309 202722 233634 264108 382618 405444 467268 506207 573927 765236 1012414 1147854 1518621 2024828 2295708 2487017 3037242 4400107 4974034 6074484 7461051 8800214 9948068 13200321 14922102 17600428 26400642 29844204 52801284 57201391 114402782 171604173 228805564 343208346 686416692