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206372985696 = 253241109160343
BaseRepresentation
bin1100000000110011001…
…0011101101101100000
3201201200111011220100200
43000030302131231200
511340122441020241
6234450105145200
720624054302143
oct3001462355540
9651614156320
10206372985696
117a582196729
1233bb5a8b200
13165cb75b527
149dba66205a
15557cbd64b6
hex300cc9db60

206372985696 has 144 divisors (see below), whose sum is σ = 606706420320. Its totient is φ = 66497034240.

The previous prime is 206372985671. The next prime is 206372985701. The reversal of 206372985696 is 696589273602.

206372985696 is a `hidden beast` number, since 2 + 0 + 63 + 7 + 2 + 9 + 8 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1206901 + ... + 1367243.

It is an arithmetic number, because the mean of its divisors is an integer number (4213239030).

Almost surely, 2206372985696 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 206372985696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303353210160).

206372985696 is an abundant number, since it is smaller than the sum of its proper divisors (400333434624).

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

206372985696 is a wasteful number, since it uses less digits than its factorization.

206372985696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160509 (or 160498 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 206372985696 in words is "two hundred six billion, three hundred seventy-two million, nine hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 109 123 144 164 218 246 288 327 328 369 436 492 654 656 738 872 981 984 1308 1312 1476 1744 1962 1968 2616 2952 3488 3924 3936 4469 5232 5904 7848 8938 10464 11808 13407 15696 17876 26814 31392 35752 40221 53628 71504 80442 107256 143008 160343 160884 214512 320686 321768 429024 481029 641372 643536 962058 1282744 1287072 1443087 1924116 2565488 2886174 3848232 5130976 5772348 6574063 7696464 11544696 13148126 15392928 17477387 19722189 23089392 26296252 34954774 39444378 46178784 52432161 52592504 59166567 69909548 78888756 104864322 105185008 118333134 139819096 157296483 157777512 209728644 210370016 236666268 279638192 314592966 315555024 419457288 473332536 559276384 629185932 631110048 716572867 838914576 946665072 1258371864 1433145734 1677829152 1893330144 2149718601 2516743728 2866291468 4299437202 5033487456 5732582936 6449155803 8598874404 11465165872 12898311606 17197748808 22930331744 25796623212 34395497616 51593246424 68790995232 103186492848 206372985696