Search a number
-
+
12018384071928 = 23321312840153923
BaseRepresentation
bin1010111011100011111110…
…0000110110110011111000
31120112221112211221201110100
42232320333200312303320
53033402122310300203
641321100332315400
72350204522026603
oct256707740666370
946487484851410
1012018384071928
113913a71543183
1214212b0612b60
13692437375860
142d799b42533a
1515c95bd92ea3
hexaee3f836cf8

12018384071928 has 48 divisors (see below), whose sum is σ = 35053620212520. Its totient is φ = 3697964329536.

The previous prime is 12018384071923. The next prime is 12018384071987. The reversal of 12018384071928 is 82917048381021.

12018384071928 is a `hidden beast` number, since 1 + 2 + 0 + 18 + 38 + 407 + 192 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12018384071923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6420076026 + ... + 6420077897.

Almost surely, 212018384071928 is an apocalyptic number.

12018384071928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12018384071928 is an abundant number, since it is smaller than the sum of its proper divisors (23035236140592).

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

12018384071928 is a wasteful number, since it uses less digits than its factorization.

12018384071928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12840153948 (or 12840153941 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 12018384071928 in words is "twelve trillion, eighteen billion, three hundred eighty-four million, seventy-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 12840153923 25680307846 38520461769 51360615692 77040923538 102721231384 115561385307 154081847076 166922000999 231122770614 308163694152 333844001998 462245541228 500766002997 667688003996 924491082456 1001532005994 1335376007992 1502298008991 2003064011988 3004596017982 4006128023976 6009192035964 12018384071928