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12941859840 = 2103571347197
BaseRepresentation
bin11000000110110010…
…10001110000000000
31020101221101121011020
430003121101300000
5203001104003330
65540112545440
7635465664540
oct140331216000
936357347136
1012941859840
115541384938
122612252280
1312b3326440
148aab53320
1550b2ba210
hex303651c00

12941859840 has 704 divisors, whose sum is σ = 52294201344. Its totient is φ = 2658926592.

The previous prime is 12941859817. The next prime is 12941859851. The reversal of 12941859840 is 4895814921.

It is a super-2 number, since 2×129418598402 (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 65694622 + ... + 65694818.

It is an arithmetic number, because the mean of its divisors is an integer number (74281536).

Almost surely, 212941859840 is an apocalyptic number.

12941859840 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 12941859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26147100672).

12941859840 is an abundant number, since it is smaller than the sum of its proper divisors (39352341504).

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

12941859840 is a wasteful number, since it uses less digits than its factorization.

12941859840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 12941859840 in words is "twelve billion, nine hundred forty-one million, eight hundred fifty-nine thousand, eight hundred forty".