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23682543045 = 357343167641
BaseRepresentation
bin10110000011100101…
…101110110111000101
32021010110212211121220
4112003211232313011
5342000212334140
614513555030553
71465606203000
oct260345566705
967113784556
1023682543045
11a0531a6127
12470b29b459
1323055c87a5
141209400537
159391d4bd0
hex58396edc5

23682543045 has 128 divisors (see below), whose sum is σ = 45558374400. Its totient is φ = 10494812160.

The previous prime is 23682543043. The next prime is 23682543083. The reversal of 23682543045 is 54034528632.

It is a happy number.

It is not a de Polignac number, because 23682543045 - 21 = 23682543043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23682542988 and 23682543006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23682543043) 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 127 ways as a sum of consecutive naturals, for example, 36945925 + ... + 36946565.

It is an arithmetic number, because the mean of its divisors is an integer number (355924800).

Almost surely, 223682543045 is an apocalyptic number.

It is an amenable number.

23682543045 is a deficient number, since it is larger than the sum of its proper divisors (21875831355).

23682543045 is a wasteful number, since it uses less digits than its factorization.

23682543045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 23682543045 in words is "twenty-three billion, six hundred eighty-two million, five hundred forty-three thousand, forty-five".

Divisors: 1 3 5 7 15 21 35 43 49 105 129 147 167 215 245 301 343 501 641 645 735 835 903 1029 1169 1505 1715 1923 2107 2505 3205 3507 4487 4515 5145 5845 6321 7181 8183 9615 10535 13461 14749 17535 21543 22435 24549 27563 31409 31605 35905 40915 44247 50267 57281 67305 73745 82689 94227 107047 107715 122745 137815 150801 157045 171843 192941 219863 221235 251335 286405 321141 351869 413445 471135 535235 578823 659589 749329 754005 859215 964705 1055607 1099315 1350587 1605705 1759345 2247987 2463083 2894115 3297945 3746645 4051761 4603021 5245303 5278035 6752935 7389249 9454109 11239935 12315415 13809063 15735909 20258805 23015105 26226515 28362327 32221147 36717121 36946245 47270545 69045315 78679545 96663441 110151363 141811635 161105735 183585605 225548029 483317205 550756815 676644087 1127740145 1578836203 3383220435 4736508609 7894181015 23682543045