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9742024125 = 325328130817
BaseRepresentation
bin10010001001010101…
…10111110110111101
3221010221100002202100
421010222313312331
5124422424233000
64250405215313
7463262560461
oct110452676675
927127302670
109742024125
11414a133a09
121a7a701539
13bc3414622
14685bac4a1
153c0400a00
hex244ab7dbd

9742024125 has 48 divisors (see below), whose sum is σ = 17624690928. Its totient is φ = 5177088000.

The previous prime is 9742024121. The next prime is 9742024129. The reversal of 9742024125 is 5214202479.

9742024125 is a `hidden beast` number, since 97 + 420 + 24 + 125 = 666.

It is an interprime number because it is at equal distance from previous prime (9742024121) and next prime (9742024129).

It can be written as a sum of positive squares in 8 ways, for example, as 5086827684 + 4655196441 = 71322^2 + 68229^2 .

It is not a de Polignac number, because 9742024125 - 22 = 9742024121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9742024125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9742024121) 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, 300717 + ... + 331533.

It is an arithmetic number, because the mean of its divisors is an integer number (367181061).

Almost surely, 29742024125 is an apocalyptic number.

It is an amenable number.

9742024125 is a deficient number, since it is larger than the sum of its proper divisors (7882666803).

9742024125 is a wasteful number, since it uses less digits than its factorization.

9742024125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31119 (or 31106 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 9742024125 is about 98701.6926146659. The cubic root of 9742024125 is about 2135.7466487428.

The spelling of 9742024125 in words is "nine billion, seven hundred forty-two million, twenty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 281 375 843 1125 1405 2529 4215 7025 12645 21075 30817 35125 63225 92451 105375 154085 277353 316125 462255 770425 1386765 2311275 3852125 6933825 8659577 11556375 25978731 34669125 43297885 77936193 129893655 216489425 389680965 649468275 1082447125 1948404825 3247341375 9742024125