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9742074552 = 2333726191487
BaseRepresentation
bin10010001001010110…
…00100001010111000
3221010221102122221000
421010223010022320
5124422432341202
64250410245000
7463263160500
oct110453041270
927127378830
109742074552
11414a168891
121a7a726760
13bc3431572
14685bc2a00
153c041091c
hex244ac42b8

9742074552 has 192 divisors, whose sum is σ = 31551552000. Its totient is φ = 2777084352.

The previous prime is 9742074533. The next prime is 9742074569. The reversal of 9742074552 is 2554702479.

9742074552 is a `hidden beast` number, since 9 + 7 + 4 + 20 + 74 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9742074498 and 9742074507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6550753 + ... + 6552239.

It is an arithmetic number, because the mean of its divisors is an integer number (164331000).

Almost surely, 29742074552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9742074552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15775776000).

9742074552 is an abundant number, since it is smaller than the sum of its proper divisors (21809477448).

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

9742074552 is a wasteful number, since it uses less digits than its factorization.

9742074552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 9742074552 is about 98701.9480658817. The cubic root of 9742074552 is about 2135.7503337781.

The spelling of 9742074552 in words is "nine billion, seven hundred forty-two million, seventy-four thousand, five hundred fifty-two".