Search a number
-
+
10676677374 = 23211131557739
BaseRepresentation
bin10011111000110000…
…10010101011111110
31000120002001101222100
421330120102223332
5133331212133444
64523234125530
7525402155166
oct117430225376
930502041870
1010676677374
114589784810
12209b7208a6
131011c51c9c
14733d895a6
154274c4e69
hex27c612afe

10676677374 has 96 divisors (see below), whose sum is σ = 25508545920. Its totient is φ = 3200558400.

The previous prime is 10676677373. The next prime is 10676677387. The reversal of 10676677374 is 47377667601.

It is a super-2 number, since 2×106766773742 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10676677374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10676677373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14447097 + ... + 14447835.

It is an arithmetic number, because the mean of its divisors is an integer number (265714020).

Almost surely, 210676677374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10676677374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12754272960).

10676677374 is an abundant number, since it is smaller than the sum of its proper divisors (14831868546).

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

10676677374 is a wasteful number, since it uses less digits than its factorization.

10676677374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 10676677374 in words is "ten billion, six hundred seventy-six million, six hundred seventy-seven thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 131 198 262 393 557 739 786 1114 1179 1441 1478 1671 2217 2358 2882 3342 4323 4434 5013 6127 6651 8129 8646 10026 12254 12969 13302 16258 18381 24387 25938 36762 48774 55143 72967 73161 96809 110286 145934 146322 193618 218901 290427 411623 437802 580854 656703 802637 823246 871281 1064899 1234869 1313406 1605274 1742562 2129798 2407911 2469738 3194697 3704607 4527853 4815822 6389394 7223733 7409214 9055706 9584091 13583559 14447466 19168182 27167118 40750677 53922613 81501354 107845226 161767839 323535678 485303517 593148743 970607034 1186297486 1779446229 3558892458 5338338687 10676677374