Search a number
-
+
8332130312338 = 2721271394816277
BaseRepresentation
bin111100100111111100110…
…1010101110000010010010
31002111112200111011102010111
41321033321222232002102
52043003200324443323
625415421113151534
71516655646043600
oct171177152560222
932445614142114
108332130312338
112722700385778
12b269a56bb5aa
13485941259bb1
1420b3c4b26870
15e6b102a1c0d
hex793f9aae092

8332130312338 has 48 divisors (see below), whose sum is σ = 14758617000960. Its totient is φ = 3517307097696.

The previous prime is 8332130312299. The next prime is 8332130312377.

It is a happy number.

8332130312338 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (8332130312299) and next prime (8332130312377).

It is a self number, because there is not a number n which added to its sum of digits gives 8332130312338.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678145 + ... + 4138132.

It is an arithmetic number, because the mean of its divisors is an integer number (307471187520).

Almost surely, 28332130312338 is an apocalyptic number.

8332130312338 is a deficient number, since it is larger than the sum of its proper divisors (6426486688622).

8332130312338 is a wasteful number, since it uses less digits than its factorization.

8332130312338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816559 (or 4816552 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

It can be divided in two parts, 8332130 and 312338, that added together give a palindrome (8644468).

The spelling of 8332130312338 in words is "eight trillion, three hundred thirty-two billion, one hundred thirty million, three hundred twelve thousand, three hundred thirty-eight".

Divisors: 1 2 7 14 49 98 127 139 254 278 889 973 1778 1946 6223 6811 12446 13622 17653 35306 123571 247142 864997 1729994 4816277 9632554 33713939 67427878 235997573 471995146 611667179 669462503 1223334358 1338925006 4281670253 4686237521 8563340506 9372475042 29971691771 32803662647 59943383542 65607325294 85021737881 170043475762 595152165167 1190304330334 4166065156169 8332130312338