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206104155710684 = 2271131116097133669
BaseRepresentation
bin101110110111001101011100…
…111111001110010011011100
31000000202100211222111221001212
4232313031130333032103130
5204003302302330220214
62010202535250523552
761261351053624050
oct5667153477162334
91000670758457055
10206104155710684
115a742310857840
121b1484488965b8
138b0070009b0ca
1438c76cc75bc60
1518c6396ee353e
hexbb735cfce4dc

206104155710684 has 96 divisors (see below), whose sum is σ = 451159117194240. Its totient is φ = 80036548761600.

The previous prime is 206104155710683. The next prime is 206104155710801. The reversal of 206104155710684 is 486017551401602.

It is a super-2 number, since 2×2061041557106842 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206104155710683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1541832602 + ... + 1541966270.

It is an arithmetic number, because the mean of its divisors is an integer number (4699574137440).

Almost surely, 2206104155710684 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 206104155710684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225579558597120).

206104155710684 is an abundant number, since it is smaller than the sum of its proper divisors (245054961483556).

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

206104155710684 is a wasteful number, since it uses less digits than its factorization.

206104155710684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150099 (or 150097 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 50.

The spelling of 206104155710684 in words is "two hundred six trillion, one hundred four billion, one hundred fifty-five million, seven hundred ten thousand, six hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 311 622 1244 2177 3421 4354 6842 8708 13684 16097 23947 32194 47894 64388 95788 112679 133669 177067 225358 267338 354134 450716 534676 708268 935683 1239469 1470359 1871366 2478938 2940718 3742732 4957876 5006167 5881436 10012334 10292513 20024668 20585026 35043169 41170052 41571059 55067837 70086338 83142118 110135674 140172676 166284236 220271348 290997413 385474859 457281649 581994826 770949718 914563298 1163989652 1541899436 1829126596 2151669893 3200971543 4303339786 6401943086 8606679572 12803886172 15061689251 23668368823 30123378502 47336737646 60246757004 94673475292 165678581761 331357163522 662714327044 669169336723 1338338673446 2676677346892 4684185357061 7360862703953 9368370714122 14721725407906 18736741428244 29443450815812 51526038927671 103052077855342 206104155710684