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10604374245 = 3251571500973
BaseRepresentation
bin10011110000001000…
…11110100011100101
31000101001000000201200
421320010132203211
5133204204433440
64512132313113
7523533456663
oct117004364345
930331000650
1010604374245
114551990363
12207b472799
13cccc8807a
14728527c33
15420e91c30
hex27811e8e5

10604374245 has 24 divisors (see below), whose sum is σ = 18498003576. Its totient is φ = 5619639168.

The previous prime is 10604374229. The next prime is 10604374247. The reversal of 10604374245 is 54247340601.

10604374245 is a `hidden beast` number, since 1 + 0 + 604 + 3 + 7 + 4 + 2 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1709243649 + 8895130596 = 41343^2 + 94314^2 .

It is not a de Polignac number, because 10604374245 - 24 = 10604374229 is a prime.

It is a super-3 number, since 3×106043742453 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10604374247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743422 + ... + 757551.

It is an arithmetic number, because the mean of its divisors is an integer number (770750149).

Almost surely, 210604374245 is an apocalyptic number.

10604374245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10604374245 is a deficient number, since it is larger than the sum of its proper divisors (7893629331).

10604374245 is a wasteful number, since it uses less digits than its factorization.

10604374245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501141 (or 1501138 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 10604374245 in words is "ten billion, six hundred four million, three hundred seventy-four thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 45 157 471 785 1413 2355 7065 1500973 4502919 7504865 13508757 22514595 67543785 235652761 706958283 1178263805 2120874849 3534791415 10604374245