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12925272690 = 23251119739413
BaseRepresentation
bin11000000100110100…
…00000001001110010
31020100210011212212100
430002122000021302
5202432332211230
65534321241230
7635205001521
oct140232001162
936323155770
1012925272690
115532a85750
122608793216
1312aca69565
148a88764b8
15509ae0660
hex302680272

12925272690 has 192 divisors, whose sum is σ = 39123077760. Its totient is φ = 2927508480.

The previous prime is 12925272623. The next prime is 12925272749. The reversal of 12925272690 is 9627252921.

12925272690 is a `hidden beast` number, since 1 + 292 + 5 + 272 + 6 + 90 = 666.

It is a super-2 number, since 2×129252726902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon 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 95 ways as a sum of consecutive naturals, for example, 1368424 + ... + 1377836.

It is an arithmetic number, because the mean of its divisors is an integer number (203766030).

Almost surely, 212925272690 is an apocalyptic number.

12925272690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12925272690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19561538880).

12925272690 is an abundant number, since it is smaller than the sum of its proper divisors (26197805070).

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

12925272690 is a wasteful number, since it uses less digits than its factorization.

12925272690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9529 (or 9526 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12925272690 in words is "twelve billion, nine hundred twenty-five million, two hundred seventy-two thousand, six hundred ninety".