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2121943950 = 232527798527
BaseRepresentation
bin111111001111010…
…0100101110001110
312110212210220212200
41332132210232032
513321204201300
6550320342330
7103404140340
oct17636445616
95425726780
102121943950
11999866995
124b27749a6
1327a802049
14161b5d290
15c644e200
hex7e7a4b8e

2121943950 has 144 divisors (see below), whose sum is σ = 6598625280. Its totient is φ = 478820160.

The previous prime is 2121943939. The next prime is 2121943951. The reversal of 2121943950 is 593491212.

2121943950 is a `hidden beast` number, since 2 + 1 + 219 + 439 + 5 + 0 = 666.

It is a super-2 number, since 2×21219439502 = 9005292253883205000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121943951) 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 71 ways as a sum of consecutive naturals, for example, 244587 + ... + 253113.

Almost surely, 22121943950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121943950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299312640).

2121943950 is an abundant number, since it is smaller than the sum of its proper divisors (4476681330).

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

2121943950 is a wasteful number, since it uses less digits than its factorization.

2121943950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8631 (or 8623 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2121943950 is about 46064.5628439042. The cubic root of 2121943950 is about 1285.0241886568.

The spelling of 2121943950 in words is "two billion, one hundred twenty-one million, nine hundred forty-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 79 90 105 126 150 158 175 210 225 237 315 350 395 450 474 525 553 630 711 790 1050 1106 1185 1422 1575 1659 1975 2370 2765 3150 3318 3555 3950 4977 5530 5925 7110 8295 8527 9954 11850 13825 16590 17054 17775 24885 25581 27650 35550 41475 42635 49770 51162 59689 76743 82950 85270 119378 124425 127905 153486 179067 213175 248850 255810 298445 358134 383715 426350 537201 596890 639525 673633 767430 895335 1074402 1279050 1347266 1492225 1790670 1918575 2020899 2686005 2984450 3368165 3837150 4041798 4476675 4715431 5372010 6062697 6736330 8953350 9430862 10104495 12125394 13430025 14146293 16840825 20208990 23577155 26860050 28292586 30313485 33681650 42438879 47154310 50522475 60626970 70731465 84877758 101044950 117885775 141462930 151567425 212194395 235771550 303134850 353657325 424388790 707314650 1060971975 2121943950