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217693094720 = 2651740017113
BaseRepresentation
bin1100101010111110000…
…1010000001101000000
3202210220101222000121212
43022233201100031000
512031313413012340
6244001250305252
721504431526353
oct3125741201500
9683811860555
10217693094720
1184361093132
1236234b88228
13176b3aa48aa
14a771c5c29a
1559e1907a65
hex32af850340

217693094720 has 56 divisors (see below), whose sum is σ = 548874735624. Its totient is φ = 81955045376.

The previous prime is 217693094713. The next prime is 217693094741. The reversal of 217693094720 is 27490396712.

It can be written as a sum of positive squares in 4 ways, for example, as 29559237184 + 188133857536 = 171928^2 + 433744^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20003117 + ... + 20013996.

Almost surely, 2217693094720 is an apocalyptic number.

217693094720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217693094720 is an abundant number, since it is smaller than the sum of its proper divisors (331181640904).

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

217693094720 is a wasteful number, since it uses less digits than its factorization.

217693094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40017147 (or 40017137 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 50.

The spelling of 217693094720 in words is "two hundred seventeen billion, six hundred ninety-three million, ninety-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 40017113 80034226 160068452 200085565 320136904 400171130 640273808 680290921 800342260 1280547616 1360581842 1600684520 2561095232 2721163684 3201369040 3401454605 5442327368 6402738080 6802909210 10884654736 12805476160 13605818420 21769309472 27211636840 43538618944 54423273680 108846547360 217693094720