Search a number
-
+
18086269824 = 273272242841
BaseRepresentation
bin10000110110000001…
…101001001110000000
31201200110111200222100
4100312001221032000
5244020041113244
612150403310400
71210123520430
oct206601511600
951613450870
1018086269824
117741256237
12360907b400
13192307770c
14c380862c0
1570cc49b69
hex436069380

18086269824 has 96 divisors (see below), whose sum is σ = 59480169840. Its totient is φ = 5167503360.

The previous prime is 18086269823. The next prime is 18086269837. The reversal of 18086269824 is 42896268081.

18086269824 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 626 + 9 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×180862698242 (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 (18086269823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1113357 + ... + 1129484.

Almost surely, 218086269824 is an apocalyptic number.

18086269824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18086269824 is an abundant number, since it is smaller than the sum of its proper divisors (41393900016).

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

18086269824 is a wasteful number, since it uses less digits than its factorization.

18086269824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242868 (or 2242853 counting only the distinct ones).

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

The spelling of 18086269824 in words is "eighteen billion, eighty-six million, two hundred sixty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 2242841 4485682 6728523 8971364 13457046 15699887 17942728 20185569 26914092 31399774 35885456 40371138 47099661 53828184 62799548 71770912 80742276 94199322 107656368 125599096 141298983 143541824 161484552 188398644 215312736 251198192 282597966 287083648 322969104 376797288 430625472 502396384 565195932 645938208 753594576 861250944 1004792768 1130391864 1291876416 1507189152 2009585536 2260783728 2583752832 3014378304 4521567456 6028756608 9043134912 18086269824