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10165232763 = 327331487471
BaseRepresentation
bin10010111011110010…
…10010010001111011
3222020102200022212100
421131321102101323
5131304244422023
64400404114443
7506622024060
oct113571222173
928212608770
1010165232763
114347010914
121b78395a23
13c5ccc093a
146c6094c67
153e764ac43
hex25de5247b

10165232763 has 24 divisors (see below), whose sum is σ = 16831433216. Its totient is φ = 5791143600.

The previous prime is 10165232741. The next prime is 10165232813. The reversal of 10165232763 is 36723256101.

10165232763 is a `hidden beast` number, since 101 + 6 + 523 + 27 + 6 + 3 = 666.

It is not a de Polignac number, because 10165232763 - 228 = 9896797307 is a prime.

It is a super-2 number, since 2×101652327632 (a number of 21 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10165233763) 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 23 ways as a sum of consecutive naturals, for example, 222883 + ... + 264588.

Almost surely, 210165232763 is an apocalyptic number.

10165232763 is a deficient number, since it is larger than the sum of its proper divisors (6666200453).

10165232763 is a wasteful number, since it uses less digits than its factorization.

10165232763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487815 (or 487812 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 10165232763 its reverse (36723256101), we get a palindrome (46888488864).

The spelling of 10165232763 in words is "ten billion, one hundred sixty-five million, two hundred thirty-two thousand, seven hundred sixty-three".

Divisors: 1 3 7 9 21 63 331 993 2317 2979 6951 20853 487471 1462413 3412297 4387239 10236891 30710673 161352901 484058703 1129470307 1452176109 3388410921 10165232763