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206914295412 = 2232114112744167
BaseRepresentation
bin1100000010110100001…
…1011001011001110100
3201210002012202021200200
43000231003121121310
511342230024423122
6235015523240500
720643346330446
oct3005503313164
9653065667620
10206914295412
117a82a7a8730
1234127219130
1316686948336
14a02c4cc496
1555b04ae5ac
hex302d0d9674

206914295412 has 72 divisors (see below), whose sum is σ = 584498521152. Its totient is φ = 61171996800.

The previous prime is 206914295333. The next prime is 206914295429. The reversal of 206914295412 is 214592419602.

206914295412 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 142 + 95 + 412 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6355848 + ... + 6388319.

It is an arithmetic number, because the mean of its divisors is an integer number (8118035016).

Almost surely, 2206914295412 is an apocalyptic number.

206914295412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

206914295412 is an abundant number, since it is smaller than the sum of its proper divisors (377584225740).

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

206914295412 is a wasteful number, since it uses less digits than its factorization.

206914295412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12744229 (or 12744224 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 206914295412 in words is "two hundred six billion, nine hundred fourteen million, two hundred ninety-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1353 1476 1804 2706 4059 5412 8118 16236 12744167 25488334 38232501 50976668 76465002 114697503 140185837 152930004 229395006 280371674 420557511 458790012 522510847 560743348 841115022 1045021694 1261672533 1567532541 1682230044 2090043388 2523345066 3135065082 4702597623 5046690132 5747619317 6270130164 9405195246 11495238634 17242857951 18810390492 22990477268 34485715902 51728573853 68971431804 103457147706 206914295412