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3206392661142 = 234112601272171
BaseRepresentation
bin101110101010001011111…
…001010100010010010110
3102100112021000110210110000
4232222023321110102112
5410013143010124032
610452555122312130
7450440253634116
oct56521371242226
912315230423400
103206392661142
111026907080900
124395064b8646
131a3491389bb8
14b1293ddb046
1558614014e7c
hex2ea8be54496

3206392661142 has 120 divisors (see below), whose sum is σ = 7910395576776. Its totient is φ = 970013880000.

The previous prime is 3206392661111. The next prime is 3206392661149. The reversal of 3206392661142 is 2411662936023.

3206392661142 is a `hidden beast` number, since 3 + 2 + 0 + 6 + 3 + 9 + 26 + 611 + 4 + 2 = 666.

3206392661142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3206392661149) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11644717 + ... + 11916887.

Almost surely, 23206392661142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3206392661142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955197788388).

3206392661142 is an abundant number, since it is smaller than the sum of its proper divisors (4704002915634).

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

3206392661142 is a wasteful number, since it uses less digits than its factorization.

3206392661142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272808 (or 272788 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 3206392661142 in words is "three trillion, two hundred six billion, three hundred ninety-two million, six hundred sixty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 601 726 891 1089 1202 1782 1803 2178 3267 3606 5409 6534 6611 9801 10818 13222 16227 19602 19833 32454 39666 48681 59499 72721 97362 118998 145442 178497 218163 272171 356994 436326 535491 544342 654489 816513 1070982 1308978 1633026 1963467 2449539 2993881 3926934 4899078 5890401 5987762 7348617 8981643 11780802 14697234 17963286 22045851 26944929 32932691 44091702 53889858 65865382 80834787 98798073 161669574 163574771 197596146 242504361 296394219 327149542 485008722 490724313 592788438 889182657 981448626 1472172939 1778365314 1799322481 2667547971 2944345878 3598644962 4416518817 5335095942 5397967443 8833037634 10795934886 13249556451 16193902329 19792547291 26499112902 32387804658 39585094582 48581706987 59377641873 97163413974 118755283746 145745120961 178132925619 291490241922 356265851238 534398776857 1068797553714 1603196330571 3206392661142