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12380547060 = 22345719371553
BaseRepresentation
bin10111000011111000…
…00010011111110100
31011221211011221210000
423201330002133310
5200323410001220
65404302031300
7615541625250
oct134174023764
934854157700
1012380547060
115283550282
122496278530
131223c549bb
1485639b260
154c6d90390
hex2e1f027f4

12380547060 has 480 divisors, whose sum is σ = 48016362240. Its totient is φ = 2606764032.

The previous prime is 12380547037. The next prime is 12380547071. The reversal of 12380547060 is 6074508321.

12380547060 is a `hidden beast` number, since 123 + 8 + 0 + 5 + 470 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7971244 + ... + 7972796.

It is an arithmetic number, because the mean of its divisors is an integer number (100034088).

Almost surely, 212380547060 is an apocalyptic number.

12380547060 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 12380547060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24008181120).

12380547060 is an abundant number, since it is smaller than the sum of its proper divisors (35635815180).

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

12380547060 is a wasteful number, since it uses less digits than its factorization.

12380547060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12380547060 in words is "twelve billion, three hundred eighty million, five hundred forty-seven thousand, sixty".