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3682633086 = 2341119234729
BaseRepresentation
bin1101101110000000…
…1000010101111110
3100111122112010220000
43123200020111332
530020223224321
61405231335130
7160154602416
oct33340102576
910448463800
103682633086
11161a828820
128693814a6
13468c52b42
1426d13d646
15168485826
hexdb80857e

3682633086 has 160 divisors (see below), whose sum is σ = 9889862400. Its totient is φ = 1011035520.

The previous prime is 3682633069. The next prime is 3682633151. The reversal of 3682633086 is 6803362863.

3682633086 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 633 + 0 + 8 + 6 = 666.

3682633086 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36826330862 = 27123572892203766792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 776370 + ... + 781098.

It is an arithmetic number, because the mean of its divisors is an integer number (61811640).

Almost surely, 23682633086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3682633086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4944931200).

3682633086 is an abundant number, since it is smaller than the sum of its proper divisors (6207229314).

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

3682633086 is a wasteful number, since it uses less digits than its factorization.

3682633086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4796 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3682633086 is about 60684.7022403505. The cubic root of 3682633086 is about 1544.2566619306.

The spelling of 3682633086 in words is "three billion, six hundred eighty-two million, six hundred thirty-three thousand, eighty-six".

Divisors: 1 2 3 6 9 11 18 19 22 23 27 33 38 46 54 57 66 69 81 99 114 138 162 171 198 207 209 253 297 342 414 418 437 506 513 594 621 627 759 874 891 1026 1242 1254 1311 1518 1539 1782 1863 1881 2277 2622 3078 3726 3762 3933 4554 4729 4807 5643 6831 7866 9458 9614 11286 11799 13662 14187 14421 16929 20493 23598 28374 28842 33858 35397 40986 42561 43263 52019 70794 85122 86526 89851 104038 108767 127683 129789 156057 179702 217534 255366 259578 269553 312114 326301 383049 389367 468171 539106 652602 766098 778734 808659 936342 978903 988361 1196437 1404513 1617318 1957806 1976722 2066573 2392874 2425977 2809026 2936709 2965083 3589311 4133146 4213539 4851954 5873418 5930166 6199719 7178622 7277931 8427078 8810127 8895249 10767933 12399438 14555862 17620254 17790498 18599157 21535866 22732303 26685747 32303799 37198314 45464606 53371494 55797471 64607598 68196909 80057241 96911397 111594942 136393818 160114482 167392413 193822794 204590727 334784826 409181454 613772181 1227544362 1841316543 3682633086