Search a number
-
+
412368105198 = 23734928132631
BaseRepresentation
bin1100000000000110000…
…11011110111011101110
31110102101122100012202010
412000003003132323232
523224012213331243
6513234515342050
741535603026520
oct6000303367356
91412348305663
10412368105198
11149980054945
1267b052b1926
132cb69b27b9a
1415d5ca41a10
15aad762c433
hex60030deeee

412368105198 has 32 divisors (see below), whose sum is σ = 945256435200. Its totient is φ = 117481862880.

The previous prime is 412368105187. The next prime is 412368105199. The reversal of 412368105198 is 891501863214.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412368105199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14051658 + ... + 14080973.

It is an arithmetic number, because the mean of its divisors is an integer number (29539263600).

Almost surely, 2412368105198 is an apocalyptic number.

412368105198 is an abundant number, since it is smaller than the sum of its proper divisors (532888330002).

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

412368105198 is a wasteful number, since it uses less digits than its factorization.

412368105198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28132992.

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 412368105198 in words is "four hundred twelve billion, three hundred sixty-eight million, one hundred five thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 349 698 1047 2094 2443 4886 7329 14658 28132631 56265262 84397893 168795786 196928417 393856834 590785251 1181570502 9818288219 19636576438 29454864657 58909729314 68728017533 137456035066 206184052599 412368105198