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10344377377 = 613134431223
BaseRepresentation
bin10011010001001001…
…01010110000100001
3222200220202211002001
421220210222300201
5132141130034002
64430243524001
7514225520425
oct115044526041
928626684061
1010344377377
114429149914
122008389601
13c8b155379
14701ba8b85
15408235a87
hex26892ac21

10344377377 has 16 divisors (see below), whose sum is σ = 10580001408. Its totient is φ = 10111121280.

The previous prime is 10344377357. The next prime is 10344377501. The reversal of 10344377377 is 77377344301.

It is a cyclic number.

It is not a de Polignac number, because 10344377377 - 231 = 8196893729 is a prime.

It is a super-2 number, since 2×103443773772 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10344377317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8457588 + ... + 8458810.

It is an arithmetic number, because the mean of its divisors is an integer number (661250088).

Almost surely, 210344377377 is an apocalyptic number.

It is an amenable number.

10344377377 is a deficient number, since it is larger than the sum of its proper divisors (235624031).

10344377377 is a wasteful number, since it uses less digits than its factorization.

10344377377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040.

The product of its (nonzero) digits is 1037232, while the sum is 46.

The spelling of 10344377377 in words is "ten billion, three hundred forty-four million, three hundred seventy-seven thousand, three hundred seventy-seven".

Divisors: 1 61 313 443 1223 19093 27023 74603 138659 382799 541789 8458199 23350739 33049129 169579957 10344377377