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18506911465156 = 2223241222812
BaseRepresentation
bin1000011010100111110011…
…11000100011111011000100
32102112020120110222011202011
410031103321320203323010
54411204123313341111
6103205542513024004
73620036342621332
oct415237170437304
972466513864664
1018506911465156
115995812058824
1220aa91b255004
13a4326aa452aa
1447da4c8a2b52
15221619668021
hex10d4f9e23ec4

18506911465156 has 81 divisors (see below), whose sum is σ = 34717581010119. Its totient is φ = 8631464582400.

The previous prime is 18506911465117. The next prime is 18506911465157. The reversal of 18506911465156 is 65156411960581.

The square root of 18506911465156 is 4301966.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3675786210756 + 14831125254400 = 1917234^2 + 3851120^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18506911465156.

It is not an unprimeable number, because it can be changed into a prime (18506911465157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8113506736 + ... + 8113509016.

Almost surely, 218506911465156 is an apocalyptic number.

18506911465156 is the 4301966-th square number.

It is an amenable number.

18506911465156 is a deficient number, since it is larger than the sum of its proper divisors (16210669544963).

18506911465156 is an frugal number, since it uses more digits than its factorization.

18506911465156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 58.

The spelling of 18506911465156 in words is "eighteen trillion, five hundred six billion, nine hundred eleven million, four hundred sixty-five thousand, one hundred fifty-six".

Divisors: 1 2 4 23 41 46 82 92 164 529 943 1058 1681 1886 2116 2281 3362 3772 4562 6724 9124 21689 38663 43378 52463 77326 86756 93521 104926 154652 187042 209852 374084 889249 1206649 1778498 2150983 2413298 3556996 3834361 4301966 4826596 5202961 7668722 8603932 10405922 15337444 20811844 49472609 88190303 98945218 119668103 176380606 197890436 213321401 239336206 352761212 426642802 478672412 853285604 2028376969 2752366369 4056753938 4906392223 5504732738 8113507876 8746177441 9812784446 11009465476 17492354882 19625568892 34984709764 112847021129 201162081143 225694042258 402324162286 451388084516 804648324572 4626727866289 9253455732578 18506911465156