Search a number
-
+
10655290502964 = 22321717410605397
BaseRepresentation
bin1001101100001110000011…
…0011100010111100110100
31101201122011111220212122200
42123003200303202330310
52344034013332043324
634354550050424500
72146551013616052
oct233034063427464
941648144825580
1010655290502964
113438979784868
121241097292130
135c3a35938473
1428ba0c5c51d2
1513727dd41ec9
hex9b0e0ce2f34

10655290502964 has 36 divisors (see below), whose sum is σ = 28518571641924. Its totient is φ = 3342836236032.

The previous prime is 10655290502887. The next prime is 10655290502971. The reversal of 10655290502964 is 46920509255601.

10655290502964 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 529 + 0 + 50 + 2 + 9 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4442694372900 + 6212596130064 = 2107770^2 + 2492508^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106552905029642 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10655290502964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8705302087 + ... + 8705303310.

It is an arithmetic number, because the mean of its divisors is an integer number (792182545609).

Almost surely, 210655290502964 is an apocalyptic number.

It is an amenable number.

10655290502964 is an abundant number, since it is smaller than the sum of its proper divisors (17863281138960).

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

10655290502964 is a wasteful number, since it uses less digits than its factorization.

10655290502964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17410605424 (or 17410605419 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 10655290502964 in words is "ten trillion, six hundred fifty-five billion, two hundred ninety million, five hundred two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 17410605397 34821210794 52231816191 69642421588 104463632382 156695448573 208927264764 295980291749 313390897146 591960583498 626781794292 887940875247 1183921166996 1775881750494 2663822625741 3551763500988 5327645251482 10655290502964