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9438946540 = 22519231377883
BaseRepresentation
bin10001100101001101…
…01110010011101100
3220100211001011110121
420302212232103230
5123312332242130
64200341214324
7452622502402
oct106246562354
926324034417
109438946540
114004048271
1219b51013a4
13b756a9a8a
14657837472
153a39d4d7a
hex2329ae4ec

9438946540 has 96 divisors (see below), whose sum is σ = 21933918720. Its totient is φ = 3395943936.

The previous prime is 9438946493. The next prime is 9438946571. The reversal of 9438946540 is 456498349.

9438946540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1193439 + ... + 1201321.

It is an arithmetic number, because the mean of its divisors is an integer number (228478320).

Almost surely, 29438946540 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 9438946540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10966959360).

9438946540 is an abundant number, since it is smaller than the sum of its proper divisors (12494972180).

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

9438946540 is a wasteful number, since it uses less digits than its factorization.

9438946540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8071 (or 8069 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The square root of 9438946540 is about 97154.2409779419. The cubic root of 9438946540 is about 2113.3649907741.

The spelling of 9438946540 in words is "nine billion, four hundred thirty-eight million, nine hundred forty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 137 190 230 274 380 437 460 548 685 874 1370 1748 2185 2603 2740 3151 4370 5206 6302 7883 8740 10412 12604 13015 15755 15766 26030 31510 31532 39415 52060 59869 63020 78830 119738 149777 157660 181309 239476 299345 299554 362618 598690 599108 725236 748885 906545 1079971 1197380 1497770 1813090 2159942 2995540 3444871 3626180 4319884 5399855 6889742 10799710 13779484 17224355 20519449 21599420 24839333 34448710 41038898 49678666 68897420 82077796 99357332 102597245 124196665 205194490 248393330 410388980 471947327 496786660 943894654 1887789308 2359736635 4719473270 9438946540