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12935235060 = 22355111743331
BaseRepresentation
bin11000000110000000…
…00000010111110100
31020101110221000200000
430003000000113310
5202442410010220
65535314551300
7635355453366
oct140300002764
936343830600
1012935235060
11553866a610
12260bb98530
1312b1b46c57
148a9d0ad36
1550a90c390
hex3030005f4

12935235060 has 576 divisors, whose sum is σ = 48238654464. Its totient is φ = 2874009600.

The previous prime is 12935235059. The next prime is 12935235151. The reversal of 12935235060 is 6053253921.

12935235060 is a `hidden beast` number, since 1 + 29 + 3 + 523 + 50 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39079095 + ... + 39079425.

It is an arithmetic number, because the mean of its divisors is an integer number (83747664).

Almost surely, 212935235060 is an apocalyptic number.

12935235060 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 12935235060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24119327232).

12935235060 is an abundant number, since it is smaller than the sum of its proper divisors (35303419404).

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

12935235060 is a wasteful number, since it uses less digits than its factorization.

12935235060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 12935235060 its reverse (6053253921), we get a palindrome (18988488981).

The spelling of 12935235060 in words is "twelve billion, nine hundred thirty-five million, two hundred thirty-five thousand, sixty".