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10643114631348 = 22321294692283497
BaseRepresentation
bin1001101011100000101100…
…0100010010000010110100
31101200110201221212111210200
42122320023010102002310
52343334044321200343
634345213535320500
72145640205460063
oct232701304220264
941613657774720
1010643114631348
1134337a0820251
12123a859680130
135c2845216bc4
1428b1b54a61da
15136cb9e314d3
hex9ae0b1120b4

10643114631348 has 36 divisors (see below), whose sum is σ = 26903648231460. Its totient is φ = 3547675921536.

The previous prime is 10643114631307. The next prime is 10643114631431. The reversal of 10643114631348 is 84313641134601.

10643114631348 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 3 + 1 + 1 + 4 + 631 + 3 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 266547103524 + 10376567527824 = 516282^2 + 3221268^2 .

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

It is a super-2 number, since 2×106431146313482 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3519136 + ... + 5802632.

It is an arithmetic number, because the mean of its divisors is an integer number (747323561985).

Almost surely, 210643114631348 is an apocalyptic number.

10643114631348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10643114631348 is an abundant number, since it is smaller than the sum of its proper divisors (16260533600112).

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

10643114631348 is a wasteful number, since it uses less digits than its factorization.

10643114631348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412976 (or 2412971 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

Adding to 10643114631348 its reverse (84313641134601), we get a palindrome (94956755765949).

The spelling of 10643114631348 in words is "ten trillion, six hundred forty-three billion, one hundred fourteen million, six hundred thirty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 129469 258938 388407 517876 776814 1165221 1553628 2283497 2330442 4566994 4660884 6850491 9133988 13700982 20551473 27401964 41102946 82205892 295642073093 591284146186 886926219279 1182568292372 1773852438558 2660778657837 3547704877116 5321557315674 10643114631348