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20003200998 = 2311372269823
BaseRepresentation
bin10010101000010010…
…001001111111100110
31220122001112220012020
4102220102021333212
5311431304412443
613104522004010
71305461255154
oct225022117746
956561486166
1020003200998
118535315a80
123a63046606
131b6a258911
14d7a8ba3d4
157c119e583
hex4a8489fe6

20003200998 has 96 divisors (see below), whose sum is σ = 45076227840. Its totient is φ = 5868685440.

The previous prime is 20003200951. The next prime is 20003201027. The reversal of 20003200998 is 89900230002.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24304815 + ... + 24305637.

It is an arithmetic number, because the mean of its divisors is an integer number (469544040).

Almost surely, 220003200998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20003200998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22538113920).

20003200998 is an abundant number, since it is smaller than the sum of its proper divisors (25073026842).

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

20003200998 is a wasteful number, since it uses less digits than its factorization.

20003200998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 20003200998 in words is "twenty billion, three million, two hundred thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 269 407 538 807 814 823 1221 1369 1614 1646 2442 2469 2738 2959 4107 4938 5918 8214 8877 9053 9953 15059 17754 18106 19906 27159 29859 30118 30451 45177 54318 59718 60902 90354 91353 109483 182706 218966 221387 328449 334961 368261 442774 656898 664161 669922 736522 1004883 1104783 1126687 1328322 2009766 2209566 2253374 2435257 3380061 4050871 4870514 6760122 7305771 8101742 8191319 12152613 12393557 14611542 16382638 24305226 24573957 24787114 37180671 49147914 74361342 90104509 180209018 270313527 303078803 540627054 606157606 909236409 1818472818 3333866833 6667733666 10001600499 20003200998