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10684308166596 = 22325447812
BaseRepresentation
bin1001101101111010001001…
…1001001001011111000100
31101211102001210202220212100
42123132202121021133010
52400022430342312341
634420145311552100
72151626054652351
oct233364231113704
941742053686770
1010684308166596
11344a20a469a59
12124683522b630
135c66ab63922c
1428d1a239d628
15137dcb5c83b6
hex9b7a26497c4

10684308166596 has 27 divisors (see below), whose sum is σ = 27007606329613. Its totient is φ = 3561429518160.

The previous prime is 10684308166591. The next prime is 10684308166607. The reversal of 10684308166596 is 69566180348601.

The square root of 10684308166596 is 3268686.

It is a perfect power (a square), and thus also a powerful number.

10684308166596 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 4 + 30 + 8 + 1 + 6 + 6 + 596 = 666.

10684308166596 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9772588740996 + 911719425600 = 3126114^2 + 954840^2 .

It is a super-3 number, since 3×106843081665963 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10684308166591) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19339726 + ... + 19884506.

Almost surely, 210684308166596 is an apocalyptic number.

10684308166596 is the 3268686-th square number.

It is an amenable number.

10684308166596 is an abundant number, since it is smaller than the sum of its proper divisors (16323298163017).

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

10684308166596 is an frugal number, since it uses more digits than its factorization.

10684308166596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089572 (or 544786 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 10684308166596 in words is "ten trillion, six hundred eighty-four billion, three hundred eight million, one hundred sixty-six thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 544781 1089562 1634343 2179124 3268686 4903029 6537372 9806058 19612116 296786337961 593572675922 890359013883 1187145351844 1780718027766 2671077041649 3561436055532 5342154083298 10684308166596