Search a number
-
+
19941296112 = 2432472946409
BaseRepresentation
bin10010100100100110…
…000000011111110000
31220110202001210122200
4102210212000133300
5311314432433422
613054431103200
71304110135353
oct224446003760
956422053580
1019941296112
118503383a11
123a46371b00
131b5a4928ca
14d725a429a
157baa222ac
hex4a49807f0

19941296112 has 60 divisors (see below), whose sum is σ = 56995355040. Its totient is φ = 6505668864.

The previous prime is 19941296101. The next prime is 19941296143. The reversal of 19941296112 is 21169214991.

19941296112 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 1 + 29 + 611 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1466437 + ... + 1479972.

It is an arithmetic number, because the mean of its divisors is an integer number (949922584).

Almost surely, 219941296112 is an apocalyptic number.

19941296112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19941296112 is an abundant number, since it is smaller than the sum of its proper divisors (37054058928).

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

19941296112 is a wasteful number, since it uses less digits than its factorization.

19941296112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946470 (or 2946461 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The spelling of 19941296112 in words is "nineteen billion, nine hundred forty-one million, two hundred ninety-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 2946409 5892818 8839227 11785636 17678454 23571272 26517681 35356908 47142544 53035362 70713816 106070724 138481223 141427632 212141448 276962446 415443669 424282896 553924892 830887338 1107849784 1246331007 1661774676 2215699568 2492662014 3323549352 4985324028 6647098704 9970648056 19941296112