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8680293846 = 2327212597817
BaseRepresentation
bin10000001010110001…
…01100010111010110
3211101221111121121200
420011120230113112
5120234123400341
63553200453330
7425051165100
oct100530542726
924357447550
108680293846
113754888274
12182301a246
13a84472a63
145c4b92570
1535c0c8db6
hex20562c5d6

8680293846 has 72 divisors (see below), whose sum is σ = 21898061640. Its totient is φ = 2477797056.

The previous prime is 8680293829. The next prime is 8680293889. The reversal of 8680293846 is 6483920868.

8680293846 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8680293792 and 8680293801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1106530 + ... + 1114346.

It is an arithmetic number, because the mean of its divisors is an integer number (304139745).

Almost surely, 28680293846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8680293846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949030820).

8680293846 is an abundant number, since it is smaller than the sum of its proper divisors (13217767794).

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

8680293846 is a wasteful number, since it uses less digits than its factorization.

8680293846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9098 (or 9088 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 8680293846 is about 93168.0945710494. The cubic root of 8680293846 is about 2055.1560746007.

The spelling of 8680293846 in words is "eight billion, six hundred eighty million, two hundred ninety-three thousand, eight hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1259 2518 3777 7554 7817 8813 11331 15634 17626 22662 23451 26439 46902 52878 54719 61691 70353 79317 109438 123382 140706 158634 164157 185073 328314 370146 383033 492471 555219 766066 984942 1110438 1149099 2298198 3447297 6894594 9841603 19683206 29524809 59049618 68891221 88574427 137782442 177148854 206673663 413347326 482238547 620020989 964477094 1240041978 1446715641 2893431282 4340146923 8680293846