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12380597010 = 2335375367349
BaseRepresentation
bin10111000011111000…
…01110101100010010
31011221211021111022000
423201330032230102
5200323413101020
65404303054430
7615542224005
oct134174165422
934854244260
1012380597010
115283584861
1224962a1416
131223c71662
148563b153c
154c6da0090
hex2e1f0eb12

12380597010 has 256 divisors, whose sum is σ = 35163072000. Its totient is φ = 3095718912.

The previous prime is 12380596997. The next prime is 12380597129. The reversal of 12380597010 is 1079508321.

12380597010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 35474316 + ... + 35474664.

It is an arithmetic number, because the mean of its divisors is an integer number (137355750).

Almost surely, 212380597010 is an apocalyptic number.

12380597010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12380597010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581536000).

12380597010 is an abundant number, since it is smaller than the sum of its proper divisors (22782474990).

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

12380597010 is a wasteful number, since it uses less digits than its factorization.

12380597010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 12380597010 in words is "twelve billion, three hundred eighty million, five hundred ninety-seven thousand, ten".