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12778034088 = 2331731412601
BaseRepresentation
bin10111110011010000…
…10101001110101000
31012222112010101110210
423321220111032220
5202132134042323
65511541341120
7631436332461
oct137150251650
935875111423
1012778034088
11546795a156
1225874077a0
1312883c6521
148930a9d68
154ebc09293
hex2f9a153a8

12778034088 has 192 divisors, whose sum is σ = 35847221760. Its totient is φ = 3778560000.

The previous prime is 12778034051. The next prime is 12778034107. The reversal of 12778034088 is 88043087721.

It is a happy number.

12778034088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 21260988 + ... + 21261588.

It is an arithmetic number, because the mean of its divisors is an integer number (186704280).

Almost surely, 212778034088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12778034088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17923610880).

12778034088 is an abundant number, since it is smaller than the sum of its proper divisors (23069187672).

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

12778034088 is a wasteful number, since it uses less digits than its factorization.

12778034088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 12778034088 in words is "twelve billion, seven hundred seventy-eight million, thirty-four thousand, eighty-eight".