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413460968112 = 24322939799511
BaseRepresentation
bin1100000010001000011…
…00011011001010110000
31110112012210202101211100
412001010030123022300
523233232001434422
6513535155244400
741604643146003
oct6010414331260
91415183671740
10413460968112
1114a390a34a35
126816b2a9700
132ccb237a12a
1416023c4353a
15ab4d5537ac
hex604431b2b0

413460968112 has 60 divisors (see below), whose sum is σ = 1161065780784. Its totient is φ = 137349932160.

The previous prime is 413460968087. The next prime is 413460968117. The reversal of 413460968112 is 211869064314.

413460968112 is a `hidden beast` number, since 4 + 1 + 34 + 609 + 6 + 8 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×4134609681122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413460968117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4857564 + ... + 4941947.

Almost surely, 2413460968112 is an apocalyptic number.

It is an amenable number.

413460968112 is an abundant number, since it is smaller than the sum of its proper divisors (747604812672).

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

413460968112 is a wasteful number, since it uses less digits than its factorization.

413460968112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9799818 (or 9799809 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 413460968112 in words is "four hundred thirteen billion, four hundred sixty million, nine hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 293 586 879 1172 1758 2344 2637 3516 4688 5274 7032 10548 14064 21096 42192 9799511 19599022 29398533 39198044 58797066 78396088 88195599 117594132 156792176 176391198 235188264 352782396 470376528 705564792 1411129584 2871256723 5742513446 8613770169 11485026892 17227540338 22970053784 25841310507 34455080676 45940107568 51682621014 68910161352 103365242028 137820322704 206730484056 413460968112