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11516651092953 = 32291931621141041
BaseRepresentation
bin1010011110010110110111…
…1001011011101111011001
31111202222111012211112222100
42213211231321123233121
53002142100134433303
640254402041314013
72266023231051336
oct247455571335731
944688435745870
1011516651092953
113740203337a56
121360007195909
136570281a2646
142bb5a1db398d
1514e8940448a3
hexa796de5bbd9

11516651092953 has 48 divisors (see below), whose sum is σ = 17308747581840. Its totient is φ = 7370005708800.

The previous prime is 11516651092931. The next prime is 11516651092997. The reversal of 11516651092953 is 35929015661511.

It is a happy number.

11516651092953 is a `hidden beast` number, since 1 + 1 + 51 + 6 + 6 + 510 + 9 + 29 + 53 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1379985873984 + 10136665218969 = 1174728^2 + 3183813^2 .

It is not a de Polignac number, because 11516651092953 - 26 = 11516651092889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11516651092953.

It is not an unprimeable number, because it can be changed into a prime (11516651092153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81584113 + ... + 81725153.

It is an arithmetic number, because the mean of its divisors is an integer number (360598907955).

Almost surely, 211516651092953 is an apocalyptic number.

It is an amenable number.

11516651092953 is a deficient number, since it is larger than the sum of its proper divisors (5792096488887).

11516651092953 is a wasteful number, since it uses less digits than its factorization.

11516651092953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142890 (or 142887 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 54.

The spelling of 11516651092953 in words is "eleven trillion, five hundred sixteen billion, six hundred fifty-one million, ninety-two thousand, nine hundred fifty-three".

Divisors: 1 3 9 29 87 193 261 579 1621 1737 4863 5597 14589 16791 47009 50373 141027 141041 312853 423081 423123 938559 1269369 2815677 4090189 9072737 12270567 27218211 27220913 36811701 81654633 81662739 228627461 244988217 685882383 789406477 2057647149 2368219431 6630196369 7104658293 19890589107 44125099973 59671767321 132375299919 397125899757 1279627899217 3838883697651 11516651092953