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12074260044 = 223711231314337
BaseRepresentation
bin10110011111010111…
…01001011001001100
31011011110211221222110
423033223221121030
5144212002310134
65314041144020
7605132342220
oct131753513114
934143757873
1012074260044
115136672310
12240b78b010
1311a5665392
1482782c780
154aa03d7e9
hex2cfae964c

12074260044 has 192 divisors, whose sum is σ = 36940603392. Its totient is φ = 2976230400.

The previous prime is 12074260043. The next prime is 12074260063. The reversal of 12074260044 is 44006247021.

It is a super-2 number, since 2×120742600442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12074259993 and 12074260020.

It is not an unprimeable number, because it can be changed into a prime (12074260043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2781844 + ... + 2786180.

It is an arithmetic number, because the mean of its divisors is an integer number (192398976).

Almost surely, 212074260044 is an apocalyptic number.

12074260044 is a gapful number since it is divisible by the number (14) 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 12074260044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18470301696).

12074260044 is an abundant number, since it is smaller than the sum of its proper divisors (24866343348).

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

12074260044 is a wasteful number, since it uses less digits than its factorization.

12074260044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 12074260044 in words is "twelve billion, seventy-four million, two hundred sixty thousand, forty-four".