Search a number
-
+
78287230224 = 24327211095129
BaseRepresentation
bin100100011101001001…
…0000101010100010000
321111001222020100120100
41020322102011110100
52240313012331344
655544211012400
75441013322500
oct1107222052420
9244058210510
1078287230224
1130224111875
121320a29a100
1374c8337088
143b094cba00
152082e46569
hex123a485510

78287230224 has 90 divisors (see below), whose sum is σ = 254866231230. Its totient is φ = 22367778048.

The previous prime is 78287230207. The next prime is 78287230271. The reversal of 78287230224 is 42203278287.

It can be written as a sum of positive squares in only one way, i.e., 74071065600 + 4216164624 = 272160^2 + 64932^2 .

It is a super-2 number, since 2×782872302242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78287230224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5540509 + ... + 5554620.

Almost surely, 278287230224 is an apocalyptic number.

It is an amenable number.

78287230224 is an abundant number, since it is smaller than the sum of its proper divisors (176579001006).

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

78287230224 is a wasteful number, since it uses less digits than its factorization.

78287230224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11095157 (or 11095141 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 78287230224 in words is "seventy-eight billion, two hundred eighty-seven million, two hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 11095129 22190258 33285387 44380516 66570774 77665903 88761032 99856161 133141548 155331806 177522064 199712322 232997709 266283096 310663612 399424644 465995418 532566192 543661321 621327224 698993127 798849288 931990836 1087322642 1242654448 1397986254 1597698576 1630983963 1863981672 2174645284 2795972508 3261967926 3727963344 4349290568 4892951889 5591945016 6523935852 8698581136 9785903778 11183890032 13047871704 19571807556 26095743408 39143615112 78287230224