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18293938272 = 2532173736507
BaseRepresentation
bin10001000010011001…
…110101100001100000
31202012221021100112100
4101002121311201200
5244431222011042
612223142330400
71215224624001
oct210231654140
952187240470
1018293938272
1178384a6655
123666729a00
1319570b825c
14c578a31a8
157210bb24c
hex442675860

18293938272 has 72 divisors (see below), whose sum is σ = 55083600936. Its totient is φ = 5739273216.

The previous prime is 18293938261. The next prime is 18293938277. The reversal of 18293938272 is 27283939281.

18293938272 is a `hidden beast` number, since 182 + 9 + 393 + 8 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18293938277) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1863358 + ... + 1873149.

It is an arithmetic number, because the mean of its divisors is an integer number (765050013).

Almost surely, 218293938272 is an apocalyptic number.

18293938272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18293938272 is an abundant number, since it is smaller than the sum of its proper divisors (36789662664).

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

18293938272 is a wasteful number, since it uses less digits than its factorization.

18293938272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736540 (or 3736529 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 18293938272 in words is "eighteen billion, two hundred ninety-three million, nine hundred thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 3736507 7473014 11209521 14946028 22419042 29892056 33628563 44838084 59784112 63520619 67257126 89676168 119568224 127041238 134514252 179352336 190561857 254082476 269028504 358704672 381123714 508164952 538057008 571685571 762247428 1016329904 1076114016 1143371142 1524494856 2032659808 2286742284 3048989712 4573484568 6097979424 9146969136 18293938272