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12389774148 = 22331759114377
BaseRepresentation
bin10111000100111110…
…01111001101000100
31011222110112201222000
423202133033031010
5200333240233043
65405231505300
7616013225343
oct134237171504
934873481860
1012389774148
115288782774
122499388230
131225b3580b
148576bdb5a
154c7ab42d3
hex2e27cf344

12389774148 has 96 divisors (see below), whose sum is σ = 34587907200. Its totient is φ = 3821073408.

The previous prime is 12389774141. The next prime is 12389774167. The reversal of 12389774148 is 84147798321.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12389774094 and 12389774103.

It is not an unprimeable number, because it can be changed into a prime (12389774141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51136 + ... + 165512.

It is an arithmetic number, because the mean of its divisors is an integer number (360290700).

Almost surely, 212389774148 is an apocalyptic number.

12389774148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12389774148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17293953600).

12389774148 is an abundant number, since it is smaller than the sum of its proper divisors (22198133052).

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

12389774148 is a wasteful number, since it uses less digits than its factorization.

12389774148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114466 (or 114458 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 12389774148 in words is "twelve billion, three hundred eighty-nine million, seven hundred seventy-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 59 68 102 108 118 153 177 204 236 306 354 459 531 612 708 918 1003 1062 1593 1836 2006 2124 3009 3186 4012 6018 6372 9027 12036 18054 27081 36108 54162 108324 114377 228754 343131 457508 686262 1029393 1372524 1944409 2058786 3088179 3888818 4117572 5833227 6176358 6748243 7777636 11666454 12352716 13496486 17499681 20244729 23332908 26992972 34999362 40489458 52499043 60734187 69998724 80978916 104998086 114720131 121468374 182202561 209996172 229440262 242936748 344160393 364405122 458880524 688320786 728810244 1032481179 1376641572 2064962358 3097443537 4129924716 6194887074 12389774148