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9740064126 = 2313196572243
BaseRepresentation
bin10010001001000110…
…11001010101111110
3221010210122112010210
421010203121111332
5124421424023001
64250255213250
7463240115262
oct110443312576
927123575123
109740064126
114149015381
121a79b17226
13bc2ba9470
1468581c0a2
153c0164dd6
hex2448d957e

9740064126 has 32 divisors (see below), whose sum is σ = 22082739840. Its totient is φ = 2839208544.

The previous prime is 9740064121. The next prime is 9740064137. The reversal of 9740064126 is 6214600479.

It is a happy number.

9740064126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9740064121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3284640 + ... + 3287603.

It is an arithmetic number, because the mean of its divisors is an integer number (690085620).

Almost surely, 29740064126 is an apocalyptic number.

9740064126 is an abundant number, since it is smaller than the sum of its proper divisors (12342675714).

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

9740064126 is a wasteful number, since it uses less digits than its factorization.

9740064126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6572280.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 9740064126 is about 98691.7632125397. The cubic root of 9740064126 is about 2135.6034087615.

The spelling of 9740064126 in words is "nine billion, seven hundred forty million, sixty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 6572243 13144486 19716729 39433458 85439159 124872617 170878318 249745234 256317477 374617851 512634954 749235702 1623344021 3246688042 4870032063 9740064126