Search a number
-
+
12941429760 = 210325753757
BaseRepresentation
bin11000000110101111…
…01000110000000000
31020101220120202012100
430003113220300000
5203001001223020
65540055430400
7635462223630
oct140327506000
936356522170
1012941429760
1155411107a6
122612085400
1312b320575c
148aaa806c0
1550b232a90
hex3035e8c00

12941429760 has 528 divisors, whose sum is σ = 52283589696. Its totient is φ = 2898395136.

The previous prime is 12941429759. The next prime is 12941429797. The reversal of 12941429760 is 6792414921.

12941429760 is a `hidden beast` number, since 1 + 294 + 14 + 297 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17095302 + ... + 17096058.

Almost surely, 212941429760 is an apocalyptic number.

12941429760 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 12941429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26141794848).

12941429760 is an abundant number, since it is smaller than the sum of its proper divisors (39342159936).

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

12941429760 is a wasteful number, since it uses less digits than its factorization.

12941429760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12941429760 in words is "twelve billion, nine hundred forty-one million, four hundred twenty-nine thousand, seven hundred sixty".