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20908238688 = 2532236747111
BaseRepresentation
bin10011011110001110…
…100110011101100000
31222222010112120111200
4103132032212131200
5320310002114223
613334412041200
71340061045051
oct233616463540
958863476450
1020908238688
11895a179207
124076163200
131c828c728c
141024b88728
15825873a43
hex4de3a6760

20908238688 has 144 divisors (see below), whose sum is σ = 62970276096. Its totient is φ = 6566757120.

The previous prime is 20908238669. The next prime is 20908238719. The reversal of 20908238688 is 88683280902.

20908238688 is a `hidden beast` number, since 20 + 90 + 82 + 386 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×209082386882 (a number of 21 digits) 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 23 ways as a sum of consecutive naturals, for example, 420253 + ... + 467363.

It is an arithmetic number, because the mean of its divisors is an integer number (437293584).

Almost surely, 220908238688 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 20908238688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31485138048).

20908238688 is an abundant number, since it is smaller than the sum of its proper divisors (42062037408).

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

20908238688 is a wasteful number, since it uses less digits than its factorization.

20908238688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47217 (or 47206 counting only the distinct ones).

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

The spelling of 20908238688 in words is "twenty billion, nine hundred eight million, two hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 67 69 72 92 96 134 138 144 184 201 207 268 276 288 368 402 414 536 552 603 736 804 828 1072 1104 1206 1541 1608 1656 2144 2208 2412 3082 3216 3312 4623 4824 6164 6432 6624 9246 9648 12328 13869 18492 19296 24656 27738 36984 47111 49312 55476 73968 94222 110952 141333 147936 188444 221904 282666 376888 423999 443808 565332 753776 847998 1083553 1130664 1507552 1695996 2167106 2261328 3156437 3250659 3391992 4334212 4522656 6312874 6501318 6783984 8668424 9469311 9751977 12625748 13002636 13567968 17336848 18938622 19503954 25251496 26005272 28407933 34673696 37877244 39007908 50502992 52010544 56815866 72598051 75754488 78015816 101005984 104021088 113631732 145196102 151508976 156031632 217794153 227263464 290392204 303017952 312063264 435588306 454526928 580784408 653382459 871176612 909053856 1161568816 1306764918 1742353224 2323137632 2613529836 3484706448 5227059672 6969412896 10454119344 20908238688