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34126746412 = 221119199205133
BaseRepresentation
bin11111110010000111…
…001101001100101100
310021002100111100012211
4133302013031030230
51024342421341122
623402210340204
72315456362333
oct376207151454
9107070440184
1034126746412
1113522727760
126744b8a664
1332ab333395
14191a552d1a
15d4b088877
hex7f21cd32c

34126746412 has 48 divisors (see below), whose sum is σ = 68925024000. Its totient is φ = 14621808960.

The previous prime is 34126746391. The next prime is 34126746413. The reversal of 34126746412 is 21464762143.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34126746413) 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 15 ways as a sum of consecutive naturals, for example, 63798 + ... + 268930.

It is an arithmetic number, because the mean of its divisors is an integer number (1435938000).

Almost surely, 234126746412 is an apocalyptic number.

It is an amenable number.

34126746412 is an abundant number, since it is smaller than the sum of its proper divisors (34798277588).

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

34126746412 is a wasteful number, since it uses less digits than its factorization.

34126746412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205366 (or 205364 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The spelling of 34126746412 in words is "thirty-four billion, one hundred twenty-six million, seven hundred forty-six thousand, four hundred twelve".

Divisors: 1 2 4 11 19 22 38 44 76 199 209 398 418 796 836 2189 3781 4378 7562 8756 15124 41591 83182 166364 205133 410266 820532 2256463 3897527 4512926 7795054 9025852 15590108 40821467 42872797 81642934 85745594 163285868 171491188 449036137 775607873 898072274 1551215746 1796144548 3102431492 8531686603 17063373206 34126746412