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10465406343 = 327315358631
BaseRepresentation
bin10011011111100100…
…10110110110000111
31000000100111201121100
421233302112312013
5132413121000333
64450245551143
7520225325520
oct115762266607
930010451540
1010465406343
1144904a3757
122040a154b3
13caa24c742
14713cb1847
15413b91213
hex26fc96d87

10465406343 has 24 divisors (see below), whose sum is σ = 17833527296. Its totient is φ = 5787320400.

The previous prime is 10465406317. The next prime is 10465406351. The reversal of 10465406343 is 34360456401.

10465406343 is a `hidden beast` number, since 10 + 4 + 6 + 5 + 4 + 0 + 634 + 3 = 666.

It is not a de Polignac number, because 10465406343 - 25 = 10465406311 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10465406298 and 10465406307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10465506343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2677363 + ... + 2681268.

Almost surely, 210465406343 is an apocalyptic number.

10465406343 is a deficient number, since it is larger than the sum of its proper divisors (7368120953).

10465406343 is a wasteful number, since it uses less digits than its factorization.

10465406343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358675 (or 5358672 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 10465406343 in words is "ten billion, four hundred sixty-five million, four hundred six thousand, three hundred forty-three".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 5358631 16075893 37510417 48227679 112531251 166117561 337593753 498352683 1162822927 1495058049 3488468781 10465406343