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42336795564 = 22327272733013
BaseRepresentation
bin100111011011011110…
…000011101110101100
311001021112011001101100
4213123132003232230
51143201204424224
631241012243100
73026100552600
oct473336035654
9131245131340
1042336795564
1116a56021148
128256610490
133cb923b82b
142098a97500
15117bc25ac9
hex9db783bac

42336795564 has 108 divisors (see below), whose sum is σ = 124665353904. Its totient is φ = 12079222848.

The previous prime is 42336795559. The next prime is 42336795577. The reversal of 42336795564 is 46559763324.

42336795564 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 6 + 79 + 5 + 564 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42336795564.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1265922 + ... + 1298934.

Almost surely, 242336795564 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 42336795564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62332676952).

42336795564 is an abundant number, since it is smaller than the sum of its proper divisors (82328558340).

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

42336795564 is a wasteful number, since it uses less digits than its factorization.

42336795564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33764 (or 33752 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The spelling of 42336795564 in words is "forty-two billion, three hundred thirty-six million, seven hundred ninety-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 727 882 1454 1764 2181 2908 4362 5089 6543 8724 10178 13086 15267 20356 26172 30534 33013 35623 45801 61068 66026 71246 91602 99039 106869 132052 142492 183204 198078 213738 231091 297117 320607 396156 427476 462182 594234 641214 693273 924364 1188468 1282428 1386546 1617637 2079819 2773092 3235274 4159638 4852911 6470548 8319276 9705822 14558733 19411644 24000451 29117466 48000902 58234932 72001353 96001804 144002706 168003157 216004059 288005412 336006314 432008118 504009471 672012628 864016236 1008018942 1176022099 1512028413 2016037884 2352044198 3024056826 3528066297 4704088396 6048113652 7056132594 10584198891 14112265188 21168397782 42336795564