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10724691145 = 571710321699
BaseRepresentation
bin10011111110011110…
…11100110011001001
31000200102101202111011
421333033130303021
5133431010104040
64532111203521
7526524241060
oct117717346311
930612352434
1010724691145
114603899213
1220b38165a1
13101bb932bc
1473a4c71d7
1542b80b3ea
hex27f3dccc9

10724691145 has 48 divisors (see below), whose sum is σ = 15735254400. Its totient is φ = 6850248192.

The previous prime is 10724691127. The next prime is 10724691181. The reversal of 10724691145 is 54119642701.

It is a happy number.

It is not a de Polignac number, because 10724691145 - 29 = 10724690633 is a prime.

It is a super-2 number, since 2×107246911452 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10724691098 and 10724691107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6311506 + ... + 6313204.

It is an arithmetic number, because the mean of its divisors is an integer number (327817800).

Almost surely, 210724691145 is an apocalyptic number.

It is an amenable number.

10724691145 is a deficient number, since it is larger than the sum of its proper divisors (5010563255).

10724691145 is a wasteful number, since it uses less digits than its factorization.

10724691145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 10724691145 in words is "ten billion, seven hundred twenty-four million, six hundred ninety-one thousand, one hundred forty-five".

Divisors: 1 5 7 17 35 85 103 119 515 595 721 1699 1751 3605 8495 8755 10609 11893 12257 28883 53045 59465 61285 74263 144415 174997 180353 202181 371315 874985 901765 1010905 1224979 1262471 2974949 6124895 6312355 14874745 18024691 20824643 90123455 104123215 126172837 306419747 630864185 1532098735 2144938229 10724691145