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2145369870 = 232577874327
BaseRepresentation
bin111111111011111…
…1011111100001110
312112111220002012100
41333313323330032
513343203313440
6552514415530
7104110225440
oct17767737416
95474802170
102145369870
11a01007156
124ba5915a6
13282614937
14164cda490
15c852a230
hex7fdfbf0e

2145369870 has 96 divisors (see below), whose sum is σ = 6384388608. Its totient is φ = 489633984.

The previous prime is 2145369829. The next prime is 2145369907. The reversal of 2145369870 is 789635412.

2145369870 is a `hidden beast` number, since 21 + 4 + 536 + 98 + 7 + 0 = 666.

2145369870 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21453698702 = 9205223758207633800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

2145369870 is strictly pandigital in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493647 + ... + 497973.

It is an arithmetic number, because the mean of its divisors is an integer number (66504048).

It is a 1-persistent number, because it is pandigital, but 2⋅2145369870 = 4290739740 is not.

Almost surely, 22145369870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145369870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192194304).

2145369870 is an abundant number, since it is smaller than the sum of its proper divisors (4239018738).

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

2145369870 is a wasteful number, since it uses less digits than its factorization.

2145369870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5134 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2145369870 is about 46318.1375920924. The cubic root of 2145369870 is about 1289.7357129395.

The spelling of 2145369870 in words is "two billion, one hundred forty-five million, three hundred sixty-nine thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 787 1574 2361 3935 4327 4722 5509 7083 7870 8654 11018 11805 12981 14166 16527 21635 23610 25962 27545 30289 33054 35415 38943 43270 49581 55090 60578 64905 70830 77886 82635 90867 99162 129810 151445 165270 181734 194715 247905 272601 302890 389430 454335 495810 545202 908670 1363005 2726010 3405349 6810698 10216047 17026745 20432094 23837443 30648141 34053490 47674886 51080235 61296282 71512329 102160470 119187215 143024658 153240705 214536987 238374430 306481410 357561645 429073974 715123290 1072684935 2145369870