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9459000680 = 235435999181
BaseRepresentation
bin10001100111100110…
…01110010101101000
3220102012210000120112
420303303032111220
5123333001010210
64202335113452
7453255115313
oct106363162550
926365700515
109459000680
1140143a5238
1219bb972888
13b798aba2c
1465a37797a
153a5646d05
hex233cce568

9459000680 has 64 divisors (see below), whose sum is σ = 21816432000. Its totient is φ = 3689038080.

The previous prime is 9459000659. The next prime is 9459000689. The reversal of 9459000680 is 860009549.

9459000680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9459000689) 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, 1025690 + ... + 1034870.

It is an arithmetic number, because the mean of its divisors is an integer number (340881750).

Almost surely, 29459000680 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 9459000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10908216000).

9459000680 is an abundant number, since it is smaller than the sum of its proper divisors (12357431320).

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

9459000680 is a wasteful number, since it uses less digits than its factorization.

9459000680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9834 (or 9830 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 9459000680 is about 97257.3939605622. The cubic root of 9459000680 is about 2114.8606286482.

The spelling of 9459000680 in words is "nine billion, four hundred fifty-nine million, six hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 599 860 1198 1720 2396 2995 4792 5990 9181 11980 18362 23960 25757 36724 45905 51514 73448 91810 103028 128785 183620 206056 257570 367240 394783 515140 789566 1030280 1579132 1973915 3158264 3947830 5499419 7895660 10998838 15791320 21997676 27497095 43995352 54994190 109988380 219976760 236475017 472950034 945900068 1182375085 1891800136 2364750170 4729500340 9459000680