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1818442164474 = 2321341961319717
BaseRepresentation
bin11010011101100011100…
…110010110100011111010
320102211201100202012010100
4122131203212112203322
5214243132143230344
63511214130300230
7245243456236305
oct32354346264372
96384640665110
101818442164474
11641219216831
12254514727676
1310262ac5ab70
1464027c17b3c
153247db53569
hex1a7639968fa

1818442164474 has 96 divisors (see below), whose sum is σ = 4347192914064. Its totient is φ = 545789352960.

The previous prime is 1818442164457. The next prime is 1818442164529. The reversal of 1818442164474 is 4744612448181.

1818442164474 is a `hidden beast` number, since 1 + 8 + 1 + 8 + 4 + 4 + 2 + 164 + 474 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 280576793025 + 1537865371449 = 529695^2 + 1240107^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1818442164474.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 92217264 + ... + 92236980.

Almost surely, 21818442164474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1818442164474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173596457032).

1818442164474 is an abundant number, since it is smaller than the sum of its proper divisors (2528750749590).

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

1818442164474 is a wasteful number, since it uses less digits than its factorization.

1818442164474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29392 (or 29389 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The spelling of 1818442164474 in words is "one trillion, eight hundred eighteen billion, four hundred forty-two million, one hundred sixty-four thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 4797 9594 9613 19226 19717 28839 39434 57678 59151 86517 118302 124969 173034 177453 249938 256321 354906 374907 394133 512642 749814 768963 788266 808397 1124721 1182399 1537926 1616794 2249442 2306889 2364798 2425191 3547197 4613778 4850382 5123729 7094394 7275573 10247458 10509161 14551146 15371187 21018322 30742374 31527483 46113561 63054966 92227122 94582449 189164898 189539521 379079042 568618563 1137237126 1705855689 2464013773 3411711378 4928027546 7392041319 7771120361 14784082638 15542240722 22176123957 23313361083 44352247914 46626722166 69940083249 101024564693 139880166498 202049129386 303073694079 606147388158 909221082237 1818442164474