Search a number
-
+
78332370568 = 23175318160041
BaseRepresentation
bin100100011110011111…
…0010001111010001000
321111012010011201110221
41020330332101322020
52240411041324233
655552502315424
75442102110134
oct1107476217210
9244163151427
1078332370568
1130247643441
1213221428b74
1375047b053a
143b114bc3c4
152086db142d
hex123cf91e88

78332370568 has 64 divisors (see below), whose sum is σ = 159325049520. Its totient is φ = 35966361600.

The previous prime is 78332370563. The next prime is 78332370569. The reversal of 78332370568 is 86507323387.

It can be written as a sum of positive squares in 8 ways, for example, as 61176086244 + 17156284324 = 247338^2 + 130982^2 .

It is a super-2 number, since 2×783323705682 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78332370563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1274628 + ... + 1334668.

Almost surely, 278332370568 is an apocalyptic number.

It is an amenable number.

78332370568 is an abundant number, since it is smaller than the sum of its proper divisors (80992678952).

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

78332370568 is a wasteful number, since it uses less digits than its factorization.

78332370568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60298 (or 60294 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

It can be divided in two parts, 78332 and 370568, that added together give a square (448900 = 6702).

The spelling of 78332370568 in words is "seventy-eight billion, three hundred thirty-two million, three hundred seventy thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 17 34 53 68 106 136 181 212 362 424 724 901 1448 1802 3077 3604 6154 7208 9593 12308 19186 24616 38372 60041 76744 120082 163081 240164 326162 480328 652324 1020697 1304648 2041394 3182173 4082788 6364346 8165576 10867421 12728692 21734842 25457384 43469684 54096941 86939368 108193882 184746157 216387764 369492314 432775528 575973313 738984628 1151946626 1477969256 2303893252 4607786504 9791546321 19583092642 39166185284 78332370568