Search a number
-
+
20064371270652 = 2234434613124001
BaseRepresentation
bin1001000111111100110011…
…01110001110001111111100
32122001010122112100212110000
410203332121232032033330
510112213313021130102
6110401240033514300
74140413552550612
oct443763156161774
978033575325400
1020064371270652
116436285561475
122300739412990
13b270a65553b7
144d51994ab6b2
1524bdc124a01c
hex123f99b8e3fc

20064371270652 has 120 divisors (see below), whose sum is σ = 53788491619632. Its totient is φ = 6518413440000.

The previous prime is 20064371270623. The next prime is 20064371270717. The reversal of 20064371270652 is 25607217346002.

20064371270652 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 4 + 371 + 270 + 6 + 5 + 2 = 666.

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 junction number, because it is equal to n+sod(n) for n = 20064371270598 and 20064371270607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4860652 + ... + 7984652.

Almost surely, 220064371270652 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 20064371270652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26894245809816).

20064371270652 is an abundant number, since it is smaller than the sum of its proper divisors (33724120348980).

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

20064371270652 is a wasteful number, since it uses less digits than its factorization.

20064371270652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124521 (or 3124510 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 20064371270652 in words is "twenty trillion, sixty-four billion, three hundred seventy-one million, two hundred seventy thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 461 516 774 922 1161 1383 1548 1844 2322 2766 3483 4149 4644 5532 6966 8298 12447 13932 16596 19823 24894 37341 39646 49788 59469 74682 79292 118938 149364 178407 237876 356814 535221 713628 1070442 1605663 2140884 3124001 3211326 6248002 6422652 9372003 12496004 18744006 28116009 37488012 56232018 84348027 112464036 134332043 168696054 253044081 268664086 337392108 402996129 506088162 537328172 805992258 1012176324 1208988387 1440164461 1611984516 2417976774 2880328922 3626965161 4320493383 4835953548 5760657844 7253930322 8640986766 10880895483 12961480149 14507860644 17281973532 21761790966 25922960298 38884440447 43523581932 51845920596 61927071823 77768880894 116653321341 123854143646 155537761788 185781215469 233306642682 247708287292 371562430938 466613285364 557343646407 743124861876 1114687292814 1672030939221 2229374585628 3344061878442 5016092817663 6688123756884 10032185635326 20064371270652