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20830386150 = 23252727723873
BaseRepresentation
bin10011011001100101…
…100111011111100110
31222202201001020220100
4103121211213133212
5320130034324100
613322551244530
71335124234530
oct233145473746
958681036810
1020830386150
11891a234472
124054079746
131c6c7394a2
1410186c0850
1581dae6400
hex4d99677e6

20830386150 has 144 divisors (see below), whose sum is σ = 64192793184. Its totient is φ = 4743843840.

The previous prime is 20830386113. The next prime is 20830386151. The reversal of 20830386150 is 5168303802.

20830386150 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 0 + 38 + 615 + 0 = 666.

It is a super-2 number, since 2×208303861502 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20830386151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 860614 + ... + 884486.

It is an arithmetic number, because the mean of its divisors is an integer number (445783286).

Almost surely, 220830386150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20830386150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32096396592).

20830386150 is an abundant number, since it is smaller than the sum of its proper divisors (43362407034).

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

20830386150 is a wasteful number, since it uses less digits than its factorization.

20830386150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24175 (or 24167 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 20830386150 its reverse (5168303802), we get a palindrome (25998689952).

The spelling of 20830386150 in words is "twenty billion, eight hundred thirty million, three hundred eighty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 277 315 350 450 525 554 630 831 1050 1385 1575 1662 1939 2493 2770 3150 3878 4155 4986 5817 6925 8310 9695 11634 12465 13850 17451 19390 20775 23873 24930 29085 34902 41550 47746 48475 58170 62325 71619 87255 96950 119365 124650 143238 145425 167111 174510 214857 238730 290850 334222 358095 429714 436275 501333 596825 716190 835555 872550 1002666 1074285 1193650 1503999 1671110 1790475 2148570 2506665 3007998 3580950 4177775 5013330 5371425 6612821 7519995 8355550 10742850 12533325 13225642 15039990 19838463 25066650 33064105 37599975 39676926 46289747 59515389 66128210 75199950 92579494 99192315 119030778 138869241 165320525 198384630 231448735 277738482 297576945 330641050 416607723 462897470 495961575 595153890 694346205 833215446 991923150 1157243675 1388692410 1487884725 2083038615 2314487350 2975769450 3471731025 4166077230 6943462050 10415193075 20830386150