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10689642024 = 2331747557449
BaseRepresentation
bin10011111010010011…
…01111111000101000
31000120222110002010120
421331021233320220
5133343022021044
64524420043240
7525620313045
oct117511577050
930528402116
1010689642024
11459602a2a6
1220a3b33520
131014841089
147359a21cc
154286d6519
hex27d26fe28

10689642024 has 64 divisors (see below), whose sum is σ = 28898208000. Its totient is φ = 3282253824.

The previous prime is 10689642023. The next prime is 10689642059. The reversal of 10689642024 is 42024698601.

It is a super-2 number, since 2×106896420242 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10689642023) 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 15 ways as a sum of consecutive naturals, for example, 259549 + ... + 297900.

It is an arithmetic number, because the mean of its divisors is an integer number (451534500).

Almost surely, 210689642024 is an apocalyptic number.

It is an amenable number.

10689642024 is an abundant number, since it is smaller than the sum of its proper divisors (18208565976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10689642024 is a wasteful number, since it uses less digits than its factorization.

10689642024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557522 (or 557518 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 10689642024 in words is "ten billion, six hundred eighty-nine million, six hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 94 102 136 141 188 204 282 376 408 564 799 1128 1598 2397 3196 4794 6392 9588 19176 557449 1114898 1672347 2229796 3344694 4459592 6689388 9476633 13378776 18953266 26200103 28429899 37906532 52400206 56859798 75813064 78600309 104800412 113719596 157200618 209600824 227439192 314401236 445401751 628802472 890803502 1336205253 1781607004 2672410506 3563214008 5344821012 10689642024