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12170685780 = 22345112292141
BaseRepresentation
bin10110101010110110…
…11110110101010100
31011102012021220020000
423111123132311110
5144411143421110
65331404011300
7610413056631
oct132533366524
934365256200
1012170685780
115186042400
122437b30b30
1311bc627026
1483656d188
154b37391c0
hex2d56ded54

12170685780 has 360 divisors, whose sum is σ = 43433719560. Its totient is φ = 2847398400.

The previous prime is 12170685757. The next prime is 12170685803. The reversal of 12170685780 is 8758607121.

It is a happy number.

12170685780 is a `hidden beast` number, since 1 + 2 + 1 + 70 + 6 + 8 + 578 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12170685757) and next prime (12170685803).

It can be written as a sum of positive squares in 4 ways, for example, as 4090114116 + 8080571664 = 63954^2 + 89892^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5683510 + ... + 5685650.

It is an arithmetic number, because the mean of its divisors is an integer number (120649221).

Almost surely, 212170685780 is an apocalyptic number.

12170685780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12170685780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21716859780).

12170685780 is an abundant number, since it is smaller than the sum of its proper divisors (31263033780).

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

12170685780 is a wasteful number, since it uses less digits than its factorization.

12170685780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 12170685780 in words is "twelve billion, one hundred seventy million, six hundred eighty-five thousand, seven hundred eighty".