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10674477341 = 112731378821
BaseRepresentation
bin10011111000011111…
…11001100100011101
31000112220220122002122
421330033321210131
5133330131233331
64523115032325
7525344363123
oct117417714435
930486818078
1010674477341
114588511900
12209aa3b6a5
1310116617a8
14733975913
154271dd17b
hex27c3f991d

10674477341 has 24 divisors (see below), whose sum is σ = 11982005112. Its totient is φ = 9500198400.

The previous prime is 10674477329. The next prime is 10674477403. The reversal of 10674477341 is 14377447601.

It can be written as a sum of positive squares in 4 ways, for example, as 2804126116 + 7870351225 = 52954^2 + 88715^2 .

It is not a de Polignac number, because 10674477341 - 26 = 10674477277 is a prime.

It is a super-2 number, since 2×106744773412 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10674477292 and 10674477301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10674477311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1205711 + ... + 1214531.

It is an arithmetic number, because the mean of its divisors is an integer number (499250213).

Almost surely, 210674477341 is an apocalyptic number.

10674477341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10674477341 is a deficient number, since it is larger than the sum of its proper divisors (1307527771).

10674477341 is a wasteful number, since it uses less digits than its factorization.

10674477341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9053 (or 9042 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 44.

It can be divided in two parts, 106 and 74477341, that added together give a palindrome (74477447).

The spelling of 10674477341 in words is "ten billion, six hundred seventy-four million, four hundred seventy-seven thousand, three hundred forty-one".

Divisors: 1 11 73 121 137 803 1507 8821 8833 10001 16577 97031 110011 643933 1067341 1208477 1210121 7083263 13293247 77915893 88218821 146225717 970407031 10674477341