Search a number
-
+
34777366668 = 223211557157669
BaseRepresentation
bin100000011000111001…
…001000000010001100
310022202200202021102100
4200120321020002030
51032211001213133
623550531355100
72340546511362
oct403071100214
9108680667370
1034777366668
1113826a0a350
1268a6a52a90
133383073795
14197cb15632
15d88254e13
hex818e4808c

34777366668 has 72 divisors (see below), whose sum is σ = 96074007120. Its totient is φ = 10519608960.

The previous prime is 34777366643. The next prime is 34777366717. The reversal of 34777366668 is 86666377743.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141738 + ... + 299406.

It is an arithmetic number, because the mean of its divisors is an integer number (1334361210).

Almost surely, 234777366668 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 34777366668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48037003560).

34777366668 is an abundant number, since it is smaller than the sum of its proper divisors (61296640452).

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

34777366668 is a wasteful number, since it uses less digits than its factorization.

34777366668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158247 (or 158242 counting only the distinct ones).

The product of its digits is 128024064, while the sum is 63.

The spelling of 34777366668 in words is "thirty-four billion, seven hundred seventy-seven million, three hundred sixty-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 557 1114 1671 2228 3342 5013 6127 6684 10026 12254 18381 20052 24508 36762 55143 73524 110286 157669 220572 315338 473007 630676 946014 1419021 1734359 1892028 2838042 3468718 5203077 5676084 6937436 10406154 15609231 20812308 31218462 62436924 87821633 175643266 263464899 351286532 526929798 790394697 966037963 1053859596 1580789394 1932075926 2898113889 3161578788 3864151852 5796227778 8694341667 11592455556 17388683334 34777366668