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206497213664 = 2576115319871
BaseRepresentation
bin1100000001010000110…
…0010110110011100000
3201202000010221100002112
43000110030112303200
511340401241314124
6234510303534452
720630123232620
oct3002414266340
9652003840075
10206497213664
117a636325a75
123402b5ba428
131661b4059c1
149dccd5c880
155588a7490e
hex3014316ce0

206497213664 has 96 divisors (see below), whose sum is σ = 472591752192. Its totient is φ = 86982336000.

The previous prime is 206497213627. The next prime is 206497213673. The reversal of 206497213664 is 466312794602.

It is a congruent number.

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, 20914649 + ... + 20924519.

It is an arithmetic number, because the mean of its divisors is an integer number (4922830752).

Almost surely, 2206497213664 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 206497213664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236295876096).

206497213664 is an abundant number, since it is smaller than the sum of its proper divisors (266094538528).

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

206497213664 is a wasteful number, since it uses less digits than its factorization.

206497213664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11480 (or 11472 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 50.

The spelling of 206497213664 in words is "two hundred six billion, four hundred ninety-seven million, two hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 976 1531 1708 1952 3062 3416 6124 6832 9871 10717 12248 13664 19742 21434 24496 39484 42868 48992 69097 78968 85736 93391 138194 157936 171472 186782 276388 315872 342944 373564 552776 602131 653737 747128 1105552 1204262 1307474 1494256 2211104 2408524 2614948 2988512 4214917 4817048 5229896 8429834 9634096 10459792 15112501 16859668 19268192 20919584 30225002 33719336 60450004 67438672 105787507 120900008 134877344 211575014 241800016 423150028 483600032 846300056 921862561 1692600112 1843725122 3385200224 3687450244 6453037927 7374900488 12906075854 14749800976 25812151708 29499601952 51624303416 103248606832 206497213664