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206213243656 = 2373127719823
BaseRepresentation
bin1100000000001101000…
…1000110001100001000
3201201021100121011110211
43000003101012030020
511334311042244111
6234422201250504
720620104436000
oct3000321061410
9651240534424
10206213243656
117a500000112
1233b70493a34
13165a462b304
149da335d000
15556db80521
hex3003446308

206213243656 has 128 divisors (see below), whose sum is σ = 455639040000. Its totient is φ = 87452882496.

The previous prime is 206213243653. The next prime is 206213243659. The reversal of 206213243656 is 656342312602.

It is an interprime number because it is at equal distance from previous prime (206213243653) and next prime (206213243659).

It is not an unprimeable number, because it can be changed into a prime (206213243653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250562461 + ... + 250563283.

It is an arithmetic number, because the mean of its divisors is an integer number (3559680000).

Almost surely, 2206213243656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206213243656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227819520000).

206213243656 is an abundant number, since it is smaller than the sum of its proper divisors (249425796344).

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

206213243656 is a wasteful number, since it uses less digits than its factorization.

206213243656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 206213243656 in words is "two hundred six billion, two hundred thirteen million, two hundred forty-three thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 127 196 254 343 392 508 686 719 823 889 1016 1372 1438 1646 1778 2744 2876 3292 3556 5033 5752 5761 6223 6584 7112 10066 11522 12446 20132 23044 24892 35231 40264 40327 43561 46088 49784 70462 80654 87122 91313 104521 140924 161308 174244 182626 209042 246617 281848 282289 322616 348488 365252 418084 493234 564578 591737 639191 730504 731647 836168 986468 1129156 1183474 1278382 1463294 1972936 2258312 2366948 2556764 2926588 4142159 4474337 4733896 5113528 5121529 5853176 8284318 8948674 10243058 16568636 17897348 20486116 28995113 31320359 33137272 35794696 35850703 40972232 57990226 62640718 71701406 75150599 115980452 125281436 143402812 150301198 202965791 231960904 250562872 286805624 300602396 405931582 526054193 601204792 811863164 1052108386 1623726328 2104216772 3682379351 4208433544 7364758702 14729517404 25776655457 29459034808 51553310914 103106621828 206213243656