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9434374672 = 2417475771279
BaseRepresentation
bin10001100100101010…
…10010001000010000
3220100111102220001011
420302111102020100
5123310144442142
64200055220304
7452535601342
oct106225221020
926314386034
109434374672
114001505368
1219b3677694
13b74768b28
14656da7292
153a33d0417
hex232552210

9434374672 has 80 divisors (see below), whose sum is σ = 19815874560. Its totient is φ = 4334321664.

The previous prime is 9434374643. The next prime is 9434374673. The reversal of 9434374672 is 2764734349.

It is not an unprimeable number, because it can be changed into a prime (9434374673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7375729 + ... + 7377007.

It is an arithmetic number, because the mean of its divisors is an integer number (247698432).

Almost surely, 29434374672 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 9434374672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9907937280).

9434374672 is an abundant number, since it is smaller than the sum of its proper divisors (10381499888).

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

9434374672 is a wasteful number, since it uses less digits than its factorization.

9434374672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1922 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 49.

The square root of 9434374672 is about 97130.7092118656. The cubic root of 9434374672 is about 2113.0237243653.

The spelling of 9434374672 in words is "nine billion, four hundred thirty-four million, three hundred seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 47 68 94 136 188 272 376 577 752 799 1154 1279 1598 2308 2558 3196 4616 5116 6392 9232 9809 10232 12784 19618 20464 21743 27119 39236 43486 54238 60113 78472 86972 108476 120226 156944 173944 216952 240452 347888 433904 461023 480904 737983 922046 961808 1021921 1475966 1844092 2043842 2951932 3688184 4087684 5903864 7376368 8175368 11807728 12545711 16350736 25091422 34685201 50182844 69370402 100365688 138740804 200731376 277481608 554963216 589648417 1179296834 2358593668 4717187336 9434374672