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78463220108364 = 2232713238927313671
BaseRepresentation
bin10001110101110010100100…
…010111001100110001001100
3101021211000021201100210122200
4101311302210113030301030
540241020133321431424
6434513301122041500
722345531511431110
oct2165624427146114
9337730251323580
1078463220108364
11230010792458a3
1289728457a9290
1334a2085855730
1415538d669b740
1591101d6288c9
hex475ca45ccc4c

78463220108364 has 288 divisors, whose sum is σ = 244365945707520. Its totient is φ = 20671727731200.

The previous prime is 78463220108363. The next prime is 78463220108467. The reversal of 78463220108364 is 46380102236487.

78463220108364 is a `hidden beast` number, since 7 + 8 + 46 + 3 + 220 + 10 + 8 + 364 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 78463220108364.

It is not an unprimeable number, because it can be changed into a prime (78463220108363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21373798249 + ... + 21373801919.

It is an arithmetic number, because the mean of its divisors is an integer number (848492867040).

Almost surely, 278463220108364 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 78463220108364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122182972853760).

78463220108364 is an abundant number, since it is smaller than the sum of its proper divisors (165902725599156).

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

78463220108364 is a wasteful number, since it uses less digits than its factorization.

78463220108364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8821 (or 8816 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 78463220108364 in words is "seventy-eight trillion, four hundred sixty-three billion, two hundred twenty million, one hundred eight thousand, three hundred sixty-four".