Search a number
-
+
18592434420 = 22357192329879
BaseRepresentation
bin10001010100001100…
…100000100011110100
31202222201221112021020
4101110030200203310
5301034130400140
612312524221140
71225511041110
oct212414404364
952881845236
1018592434420
117980a4318a
12372a69a7b0
1319a3baa6b1
14c853a4740
1573c3ce6d0
hex4543208f4

18592434420 has 96 divisors (see below), whose sum is σ = 62627174400. Its totient is φ = 4026029184.

The previous prime is 18592434403. The next prime is 18592434467. The reversal of 18592434420 is 2443429581.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1156960 + ... + 1172919.

It is an arithmetic number, because the mean of its divisors is an integer number (652366400).

Almost surely, 218592434420 is an apocalyptic number.

18592434420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18592434420 is an abundant number, since it is smaller than the sum of its proper divisors (44034739980).

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

18592434420 is a wasteful number, since it uses less digits than its factorization.

18592434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329917 (or 2329915 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 18592434420 in words is "eighteen billion, five hundred ninety-two million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 3990 7980 2329879 4659758 6989637 9319516 11649395 13979274 16309153 23298790 27958548 32618306 34948185 44267701 46597580 48927459 65236612 69896370 81545765 88535402 97854918 132803103 139792740 163091530 177070804 195709836 221338505 244637295 265606206 309873907 326183060 442677010 489274590 531212412 619747814 664015515 885354020 929621721 978549180 1239495628 1328031030 1549369535 1859243442 2656062060 3098739070 3718486884 4648108605 6197478140 9296217210 18592434420