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10678249341 = 3210129340093
BaseRepresentation
bin10011111000111100…
…10010011101111101
31000120012000021022100
421330132102131331
5133332112434331
64523331535313
7525421423164
oct117436223575
930505007270
1010678249341
11458a658861
1220a015a539
131012382646
147342783db
154276d5ae6
hex27c79277d

10678249341 has 24 divisors (see below), whose sum is σ = 15630405336. Its totient is φ = 7024118400.

The previous prime is 10678249331. The next prime is 10678249349. The reversal of 10678249341 is 14394287601.

10678249341 is a `hidden beast` number, since 1 + 0 + 67 + 8 + 249 + 341 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4353228441 + 6325020900 = 65979^2 + 79530^2 .

It is not a de Polignac number, because 10678249341 - 26 = 10678249277 is a prime.

It is a super-2 number, since 2×106782493412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10678249349) 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, 246291 + ... + 286383.

It is an arithmetic number, because the mean of its divisors is an integer number (651266889).

Almost surely, 210678249341 is an apocalyptic number.

It is an amenable number.

10678249341 is a deficient number, since it is larger than the sum of its proper divisors (4952155995).

10678249341 is a wasteful number, since it uses less digits than its factorization.

10678249341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40493 (or 40490 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10678249341 in words is "ten billion, six hundred seventy-eight million, two hundred forty-nine thousand, three hundred forty-one".

Divisors: 1 3 9 101 293 303 879 909 2637 29593 40093 88779 120279 266337 360837 4049393 11747249 12148179 35241747 36444537 105725241 1186472149 3559416447 10678249341