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19850641668 = 2232111317226823
BaseRepresentation
bin10010011111001100…
…001100000100000100
31220020102111002010200
4102133030030010010
5311123231013133
613041432050500
71301626445604
oct223714140404
956212432120
1019850641668
118467195990
123a1bb33a30
131b44771b20
14d64526c04
157b2ab6913
hex49f30c104

19850641668 has 144 divisors (see below), whose sum is σ = 62418335616. Its totient is φ = 5225978880.

The previous prime is 19850641661. The next prime is 19850641691. The reversal of 19850641668 is 86614605891.

19850641668 is a `hidden beast` number, since 1 + 98 + 506 + 41 + 6 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (19850641661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25896 + ... + 200927.

It is an arithmetic number, because the mean of its divisors is an integer number (433460664).

Almost surely, 219850641668 is an apocalyptic number.

19850641668 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 19850641668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31209167808).

19850641668 is an abundant number, since it is smaller than the sum of its proper divisors (42567693948).

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

19850641668 is a wasteful number, since it uses less digits than its factorization.

19850641668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226874 (or 226869 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 19850641668 in words is "nineteen billion, eight hundred fifty million, six hundred forty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 17 18 22 26 33 34 36 39 44 51 52 66 68 78 99 102 117 132 143 153 156 187 198 204 221 234 286 306 374 396 429 442 468 561 572 612 663 748 858 884 1122 1287 1326 1683 1716 1989 2244 2431 2574 2652 3366 3978 4862 5148 6732 7293 7956 9724 14586 21879 29172 43758 87516 226823 453646 680469 907292 1360938 2041407 2495053 2721876 2948699 3855991 4082814 4990106 5897398 7485159 7711982 8165628 8846097 9980212 11567973 11794796 14970318 15423964 17692194 22455477 23135946 26538291 29940636 32435689 34703919 35384388 42415901 44910954 46271892 50127883 53076582 64871378 69407838 84831802 89821908 97307067 100255766 106153164 127247703 129742756 138815676 150383649 169663604 194614134 200511532 254495406 291921201 300767298 381743109 389228268 451150947 508990812 551406713 583842402 601534596 763486218 902301894 1102813426 1167684804 1526972436 1654220139 1804603788 2205626852 3308440278 4962660417 6616880556 9925320834 19850641668