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10164333517 = 1371151233313
BaseRepresentation
bin10010111011101011…
…10110101111001101
3222020100222122022221
421131311312233031
5131304032133032
64400332535341
7506611260262
oct113565665715
928210878287
1010164333517
114346557238
121b78021551
13c5ca67540
146c5cdd269
153e751e597
hex25dd76bcd

10164333517 has 32 divisors (see below), whose sum is σ = 11257698816. Its totient is φ = 9120384000.

The previous prime is 10164333503. The next prime is 10164333521. The reversal of 10164333517 is 71533346101.

It is a de Polignac number, because none of the positive numbers 2k-10164333517 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164333527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32473753 + ... + 32474065.

It is an arithmetic number, because the mean of its divisors is an integer number (351803088).

Almost surely, 210164333517 is an apocalyptic number.

It is an amenable number.

10164333517 is a deficient number, since it is larger than the sum of its proper divisors (1093365299).

10164333517 is a wasteful number, since it uses less digits than its factorization.

10164333517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781.

The product of its (nonzero) digits is 22680, while the sum is 34.

Adding to 10164333517 its reverse (71533346101), we get a palindrome (81697679618).

The spelling of 10164333517 in words is "ten billion, one hundred sixty-four million, three hundred thirty-three thousand, five hundred seventeen".

Divisors: 1 13 71 151 233 313 923 1963 3029 4069 10721 16543 22223 35183 47263 72929 139373 215059 288899 457379 614419 948077 2497993 3355673 5177959 11012279 32473909 43623749 67313467 143159627 781871809 10164333517