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2090356686 = 23311171371511
BaseRepresentation
bin111110010011000…
…0100111111001110
312101200101010022000
41330212010333032
513240112403221
6543231333130
7102541511235
oct17446047716
95350333260
102090356686
11982a51a10
124a40811a6
132740c2762
1415b899b1c
15c37aee26
hex7c984fce

2090356686 has 128 divisors (see below), whose sum is σ = 5408363520. Its totient is φ = 591436800.

The previous prime is 2090356663. The next prime is 2090356717. The reversal of 2090356686 is 6866530902.

It is a happy number.

2090356686 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 3 + 566 + 86 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1382671 + ... + 1384181.

It is an arithmetic number, because the mean of its divisors is an integer number (42252840).

Almost surely, 22090356686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2090356686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704181760).

2090356686 is an abundant number, since it is smaller than the sum of its proper divisors (3318006834).

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

2090356686 is a wasteful number, since it uses less digits than its factorization.

2090356686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2090356686 is about 45720.4186988702. The cubic root of 2090356686 is about 1278.6159939036.

The spelling of 2090356686 in words is "two billion, ninety million, three hundred fifty-six thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 137 153 187 198 274 297 306 374 411 459 561 594 822 918 1122 1233 1507 1511 1683 2329 2466 3014 3022 3366 3699 4521 4533 4658 5049 6987 7398 9042 9066 10098 13563 13599 13974 16621 20961 25619 25687 27126 27198 33242 40689 40797 41922 49863 51238 51374 62883 76857 77061 81378 81594 99726 125766 149589 153714 154122 207007 230571 231183 282557 299178 414014 448767 461142 462366 565114 621021 691713 693549 847671 897534 1242042 1383426 1387098 1695342 1863063 2277077 2543013 3519119 3726126 4554154 5086026 5589189 6831231 7038238 7629039 10557357 11178378 13662462 15258078 20493693 21114714 31672071 38710309 40987386 61481079 63344142 77420618 95016213 116130927 122962158 190032426 232261854 348392781 696785562 1045178343 2090356686