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12464238420 = 22335139211787
BaseRepresentation
bin10111001101110110…
…10010111101010100
31012011122122220202000
423212323102331110
5201011321112140
65420451515300
7620606164344
oct134673227524
935148586660
1012464238420
115316812897
1224ba2b8b30
1312383a830a
14863544d24
154ce3c2a30
hex2e6ed2f54

12464238420 has 192 divisors, whose sum is σ = 39291571200. Its totient is φ = 3280072320.

The previous prime is 12464238389. The next prime is 12464238439. The reversal of 12464238420 is 2483246421.

12464238420 is a `hidden beast` number, since 1 + 2 + 4 + 642 + 3 + 8 + 4 + 2 + 0 = 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 63 ways as a sum of consecutive naturals, for example, 15837267 + ... + 15838053.

It is an arithmetic number, because the mean of its divisors is an integer number (204643600).

Almost surely, 212464238420 is an apocalyptic number.

12464238420 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 12464238420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19645785600).

12464238420 is an abundant number, since it is smaller than the sum of its proper divisors (26827332780).

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

12464238420 is a wasteful number, since it uses less digits than its factorization.

12464238420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 12464238420 in words is "twelve billion, four hundred sixty-four million, two hundred thirty-eight thousand, four hundred twenty".