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12193897254 = 237211191911039
BaseRepresentation
bin10110101101101000…
…00001101100100110
31011110210222011101020
423112310001230212
5144433114203004
65333553312010
7611114262600
oct132664015446
934423864336
1012193897254
115198156540
122443865606
1311c4393126
14839692170
154b57c18d9
hex2d6d01b26

12193897254 has 192 divisors, whose sum is σ = 32779468800. Its totient is φ = 2981966400.

The previous prime is 12193897231. The next prime is 12193897277. The reversal of 12193897254 is 45279839121.

It is an interprime number because it is at equal distance from previous prime (12193897231) and next prime (12193897277).

Together with 20585571545 it forms a betrothed pair.

It is a super-2 number, since 2×121938972542 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12193897197 and 12193897206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11735667 + ... + 11736705.

It is an arithmetic number, because the mean of its divisors is an integer number (170726400).

Almost surely, 212193897254 is an apocalyptic number.

12193897254 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12193897254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16389734400).

12193897254 is an abundant number, since it is smaller than the sum of its proper divisors (20585571546).

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

12193897254 is a wasteful number, since it uses less digits than its factorization.

12193897254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1272 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The spelling of 12193897254 in words is "twelve billion, one hundred ninety-three million, eight hundred ninety-seven thousand, two hundred fifty-four".