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974749442436 = 22327211221372
BaseRepresentation
bin11100010111100111001…
…10000010000110000100
310110011222222001012022100
432023303212002012010
5111432241324124221
62023443235232100
7130265125361100
oct16136346020604
93404888035270
10974749442436
11346430715300
12138ab5748630
1370bc2b85c13
143526caba900
151a54ea9e926
hexe2f3982184

974749442436 has 243 divisors, whose sum is σ = 3151956440997. Its totient is φ = 253063198080.

The previous prime is 974749442417. The next prime is 974749442467. The reversal of 974749442436 is 634244947479.

The square root of 974749442436 is 987294.

It is a perfect power (a square), and thus also a powerful number.

974749442436 is a `hidden beast` number, since 9 + 7 + 4 + 74 + 94 + 42 + 436 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44188244100 + 930561198336 = 210210^2 + 964656^2 .

It is a super-2 number, since 2×9747494424362 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 80 ways as a sum of consecutive naturals, for example, 456128760 + ... + 456130896.

Almost surely, 2974749442436 is an apocalyptic number.

974749442436 is the 987294-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 974749442436

974749442436 is an abundant number, since it is smaller than the sum of its proper divisors (2177206998561).

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

974749442436 is a wasteful number, since it uses less digits than its factorization.

974749442436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 2160 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 63.

The spelling of 974749442436 in words is "nine hundred seventy-four billion, seven hundred forty-nine million, four hundred forty-two thousand, four hundred thirty-six".