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2010209994 = 2331319295197
BaseRepresentation
bin111011111010001…
…0101111011001010
312012002120020201000
41313310111323022
513104103204434
6531245435430
7100546334352
oct16764257312
95162506630
102010209994
11941790581
1248126bb76
13260610690
14150d95b62
15bb72cb99
hex77d15eca

2010209994 has 128 divisors (see below), whose sum is σ = 5239584000. Its totient is φ = 565657344.

The previous prime is 2010209989. The next prime is 2010210001. The reversal of 2010209994 is 4999020102.

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 384204 + ... + 389400.

It is an arithmetic number, because the mean of its divisors is an integer number (40934250).

Almost surely, 22010209994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010209994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619792000).

2010209994 is an abundant number, since it is smaller than the sum of its proper divisors (3229374006).

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

2010209994 is a wasteful number, since it uses less digits than its factorization.

2010209994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 2010209994 is about 44835.3654384572. The cubic root of 2010209994 is about 1262.0613762895.

The spelling of 2010209994 in words is "two billion, ten million, two hundred nine thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 19 26 27 29 38 39 54 57 58 78 87 114 117 171 174 234 247 261 342 351 377 494 513 522 551 702 741 754 783 1026 1102 1131 1482 1566 1653 2223 2262 3306 3393 4446 4959 5197 6669 6786 7163 9918 10179 10394 13338 14326 14877 15591 20358 21489 29754 31182 42978 46773 64467 67561 93546 98743 128934 135122 140319 150713 193401 197486 202683 280638 296229 301426 386802 405366 452139 592458 608049 888687 904278 1216098 1283659 1356417 1777374 1824147 1959269 2567318 2666061 2712834 2863547 3648294 3850977 3918538 4069251 5332122 5727094 5877807 7701954 8138502 8590641 11552931 11755614 17181282 17633421 23105862 25771923 34658793 35266842 37226111 51543846 52900263 69317586 74452222 77315769 105800526 111678333 154631538 223356666 335034999 670069998 1005104997 2010209994