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2019888864 = 253271758937
BaseRepresentation
bin111100001100101…
…0000111011100000
312012202202222121200
41320121100323200
513114042420424
6532233121200
7101024525550
oct17031207340
95182688550
102019888864
119471a1444
12484559200
1326261c016
14152395160
15bc4e08c9
hex78650ee0

2019888864 has 144 divisors (see below), whose sum is σ = 6950911968. Its totient is φ = 543154176.

The previous prime is 2019888859. The next prime is 2019888887. The reversal of 2019888864 is 4688889102.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×20198888642 = 8159902045822420992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2019888864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4804 + ... + 63740.

It is an arithmetic number, because the mean of its divisors is an integer number (48270222).

Almost surely, 22019888864 is an apocalyptic number.

2019888864 is a gapful number since it is divisible by the number (24) 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 2019888864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475455984).

2019888864 is an abundant number, since it is smaller than the sum of its proper divisors (4931023104).

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

2019888864 is a wasteful number, since it uses less digits than its factorization.

2019888864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58977 (or 58966 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 2019888864 is about 44943.1737197096. The cubic root of 2019888864 is about 1264.0836816360.

The spelling of 2019888864 in words is "two billion, nineteen million, eight hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 8568 11424 17136 34272 58937 117874 176811 235748 353622 412559 471496 530433 707244 825118 942992 1001929 1060866 1237677 1414488 1650236 1885984 2003858 2121732 2475354 2828976 3005787 3300472 3713031 4007716 4243464 4950708 5657952 6011574 6600944 7013503 7426062 8015432 8486928 9017361 9901416 12023148 13201888 14027006 14852124 16030864 16973856 18034722 19802832 21040509 24046296 28054012 29704248 32061728 36069444 39605664 42081018 48092592 56108024 59408496 63121527 72138888 84162036 96185184 112216048 118816992 126243054 144277776 168324072 224432096 252486108 288555552 336648144 504972216 673296288 1009944432 2019888864