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12353232780 = 22335731472243
BaseRepresentation
bin10111000000100111…
…10101111110001100
31011212220210020122000
423200103311332030
5200244411422110
65401444352300
7615060513630
oct134023657614
934786706560
1012353232780
11526a094699
1224890a5690
13121b3b02c5
148528cadc0
154c47971c0
hex2e04f5f8c

12353232780 has 384 divisors, whose sum is σ = 46324776960. Its totient is φ = 2673181440.

The previous prime is 12353232779. The next prime is 12353232823. The reversal of 12353232780 is 8723235321.

12353232780 is a `hidden beast` number, since 1 + 2 + 353 + 232 + 78 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5506339 + ... + 5508581.

It is an arithmetic number, because the mean of its divisors is an integer number (120637440).

Almost surely, 212353232780 is an apocalyptic number.

12353232780 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 12353232780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23162388480).

12353232780 is an abundant number, since it is smaller than the sum of its proper divisors (33971544180).

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

12353232780 is a wasteful number, since it uses less digits than its factorization.

12353232780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 12353232780 in words is "twelve billion, three hundred fifty-three million, two hundred thirty-two thousand, seven hundred eighty".