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83352042067 = 732353311641
BaseRepresentation
bin100110110100000101…
…0110011101001010011
321222010221120110021011
41031220022303221103
52331201110321232
6102142535311351
76010353445000
oct1155012635123
9258127513234
1083352042067
1132393066988
12141a251b557
137b24738b68
14406a0208a7
15227c901547
hex13682b3a53

83352042067 has 64 divisors (see below), whose sum is σ = 103837593600. Its totient is φ = 66729062400.

The previous prime is 83352042047. The next prime is 83352042071. The reversal of 83352042067 is 76024025338.

It is not a de Polignac number, because 83352042067 - 231 = 81204558419 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83352042047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130034067 + ... + 130034707.

It is an arithmetic number, because the mean of its divisors is an integer number (1622462400).

Almost surely, 283352042067 is an apocalyptic number.

83352042067 is a deficient number, since it is larger than the sum of its proper divisors (20485551533).

83352042067 is a wasteful number, since it uses less digits than its factorization.

83352042067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 83352042067 in words is "eighty-three billion, three hundred fifty-two million, forty-two thousand, sixty-seven".

Divisors: 1 7 23 49 53 161 311 343 371 641 1127 1219 2177 2597 4487 7153 7889 8533 14743 15239 16483 18179 31409 33973 50071 59731 103201 106673 115381 199351 219863 237811 350497 379109 418117 722407 781379 807667 1395457 1664677 2453479 2653763 4585073 5056849 5469653 5653669 9768199 10565603 11652739 18576341 32095511 38287571 68377393 73959221 130034387 224668577 243008869 268012997 517714547 1572680039 1701062083 3624001829 11907434581 83352042067