Search a number
-
+
104251867848 = 23321608790007
BaseRepresentation
bin110000100010111100…
…1010100001011001000
3100222002111021121102200
41201011321110023020
53202001434232343
6115520451200200
710350313153452
oct1410571241310
9328074247380
10104251867848
1140238509377
12182558a6060
139aa5678a8b
14508da192d2
152aa26624d3
hex1845e542c8

104251867848 has 48 divisors (see below), whose sum is σ = 282369497280. Its totient is φ = 34748076384.

The previous prime is 104251867831. The next prime is 104251867873. The reversal of 104251867848 is 848768152401.

104251867848 is a `hidden beast` number, since 1 + 0 + 42 + 518 + 6 + 7 + 84 + 8 = 666.

104251867848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1042518678483 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 104251867794 and 104251867803.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1113261 + ... + 1203267.

It is an arithmetic number, because the mean of its divisors is an integer number (5882697860).

Almost surely, 2104251867848 is an apocalyptic number.

104251867848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104251867848 is an abundant number, since it is smaller than the sum of its proper divisors (178117629432).

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

104251867848 is a wasteful number, since it uses less digits than its factorization.

104251867848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106106 (or 106099 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 104251867848 in words is "one hundred four billion, two hundred fifty-one million, eight hundred sixty-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 16087 32174 48261 64348 90007 96522 128696 144783 180014 193044 270021 289566 360028 386088 540042 579132 720056 810063 1080084 1158264 1620126 2160168 3240252 6480504 1447942609 2895885218 4343827827 5791770436 8687655654 11583540872 13031483481 17375311308 26062966962 34750622616 52125933924 104251867848