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213690874560 = 26352111054951
BaseRepresentation
bin1100011100000011110…
…1111111101011000000
3202102120111002011200120
43013000331333223000
512000114330441220
6242100201020240
721303313315122
oct3070075775300
9672514064616
10213690874560
1182697a22969
12354b8784680
13171c6886797
14a4b24cb212
15585a394a40
hex31c0f7fac0

213690874560 has 112 divisors (see below), whose sum is σ = 681684663552. Its totient is φ = 56714112000.

The previous prime is 213690874499. The next prime is 213690874577. The reversal of 213690874560 is 65478096312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324916 + ... + 730035.

It is a 1-persistent number, because it is pandigital, but 2⋅213690874560 = 427381749120 is not.

Almost surely, 2213690874560 is an apocalyptic number.

213690874560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213690874560 is an abundant number, since it is smaller than the sum of its proper divisors (467993788992).

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

213690874560 is a wasteful number, since it uses less digits than its factorization.

213690874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055182 (or 1055172 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 213690874560 in words is "two hundred thirteen billion, six hundred ninety million, eight hundred seventy-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 211 240 320 422 480 633 844 960 1055 1266 1688 2110 2532 3165 3376 4220 5064 6330 6752 8440 10128 12660 13504 16880 20256 25320 33760 40512 50640 67520 101280 202560 1054951 2109902 3164853 4219804 5274755 6329706 8439608 10549510 12659412 15824265 16879216 21099020 25318824 31648530 33758432 42198040 50637648 63297060 67516864 84396080 101275296 126594120 168792160 202550592 222594661 253188240 337584320 445189322 506376480 667783983 890378644 1012752960 1112973305 1335567966 1780757288 2225946610 2671135932 3338919915 3561514576 4451893220 5342271864 6677839830 7123029152 8903786440 10684543728 13355679660 14246058304 17807572880 21369087456 26711359320 35615145760 42738174912 53422718640 71230291520 106845437280 213690874560