Search a number
-
+
18148832198016 = 2731331117276883
BaseRepresentation
bin1000010000001100110101…
…01100100011110110000000
32101021000022022122200101220
410020012122230203312000
54334322302020314031
6102333243003355040
73552131660231352
oct410063254436600
971230268580356
1018148832198016
1158679707004a3
122051447222a80
13a1857339bc30
1446a5a00110d2
1521715d1ac596
hex10819ab23d80

18148832198016 has 128 divisors (see below), whose sum is σ = 53590844912640. Its totient is φ = 5404118722560.

The previous prime is 18148832197987. The next prime is 18148832198023. The reversal of 18148832198016 is 61089123884181.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×181488321980162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58483690 + ... + 58793193.

It is an arithmetic number, because the mean of its divisors is an integer number (418678475880).

Almost surely, 218148832198016 is an apocalyptic number.

18148832198016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18148832198016 is an abundant number, since it is smaller than the sum of its proper divisors (35442012714624).

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

18148832198016 is a wasteful number, since it uses less digits than its factorization.

18148832198016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117276944 (or 117276932 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 60.

The spelling of 18148832198016 in words is "eighteen trillion, one hundred forty-eight billion, eight hundred thirty-two million, one hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 372 384 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1664 1984 2418 2496 2976 3224 3968 4836 4992 5952 6448 9672 11904 12896 19344 25792 38688 51584 77376 154752 117276883 234553766 351830649 469107532 703661298 938215064 1407322596 1524599479 1876430128 2814645192 3049198958 3635583373 3752860256 4573798437 5629290384 6098397916 7271166746 7505720512 9147596874 10906750119 11258580768 12196795832 14542333492 15011441024 18295193748 21813500238 22517161536 24393591664 29084666984 36590387496 43627000476 45034323072 47262583849 48787183328 58169333968 73180774992 87254000952 94525167698 97574366656 116338667936 141787751547 146361549984 174508001904 189050335396 195148733312 232677335872 283575503094 292723099968 349016003808 378100670792 465354671744 567151006188 585446199936 698032007616 756201341584 1134302012376 1396064015232 1512402683168 2268604024752 3024805366336 4537208049504 6049610732672 9074416099008 18148832198016