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1686808638 = 234192323827
BaseRepresentation
bin110010010001010…
…1010100000111110
311100120000202110000
41210202222200332
511423310334023
6435214055130
756541431304
oct14442524076
94316022400
101686808638
11796183329
123b0aaa4a6
1320b60b228
14120050274
159d14a243
hex648aa83e

1686808638 has 80 divisors (see below), whose sum is σ = 4151790720. Its totient is φ = 509495184.

The previous prime is 1686808637. The next prime is 1686808727. The reversal of 1686808638 is 8368086861.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1686808631) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58881 + ... + 82707.

It is an arithmetic number, because the mean of its divisors is an integer number (51897384).

Almost surely, 21686808638 is an apocalyptic number.

1686808638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1686808638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075895360).

1686808638 is an abundant number, since it is smaller than the sum of its proper divisors (2464982082).

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

1686808638 is a wasteful number, since it uses less digits than its factorization.

1686808638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23883 (or 23874 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 1686808638 is about 41070.7759605294. The cubic root of 1686808638 is about 1190.3881788019.

The spelling of 1686808638 in words is "one billion, six hundred eighty-six million, eight hundred eight thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 81 114 138 162 171 207 342 414 437 513 621 874 1026 1242 1311 1539 1863 2622 3078 3726 3933 7866 11799 23598 23827 35397 47654 70794 71481 142962 214443 428886 452713 548021 643329 905426 1096042 1286658 1358139 1644063 1929987 2716278 3288126 3859974 4074417 4932189 8148834 9864378 10412399 12223251 14796567 20824798 24446502 29593134 31237197 36669753 44389701 62474394 73339506 88779402 93711591 187423182 281134773 562269546 843404319 1686808638