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83458427407641 = 321113173814544879
BaseRepresentation
bin10010111110011110101101…
…111010110100110100011001
3101221111112210022011111122200
4102332132231322310310121
541414340324404021031
6453300134450240413
723402446430053656
oct2276365572646431
9357445708144580
1083458427407641
112465757a573370
12943a976586109
1337751329cc8c0
1416875a3704c2d
1599ae2a1e08e6
hex4be7adeb4d19

83458427407641 has 48 divisors (see below), whose sum is σ = 149957388322560. Its totient is φ = 43943556994560.

The previous prime is 83458427407571. The next prime is 83458427407703. The reversal of 83458427407641 is 14670472485438.

It is a happy number.

83458427407641 is a `hidden beast` number, since 8 + 3 + 4 + 584 + 2 + 7 + 4 + 0 + 7 + 6 + 41 = 666.

It is not a de Polignac number, because 83458427407641 - 225 = 83458393853209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83458427407141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1907250561 + ... + 1907294318.

It is an arithmetic number, because the mean of its divisors is an integer number (3124112256720).

Almost surely, 283458427407641 is an apocalyptic number.

It is an amenable number.

83458427407641 is a deficient number, since it is larger than the sum of its proper divisors (66498960914919).

83458427407641 is a wasteful number, since it uses less digits than its factorization.

83458427407641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814544926 (or 3814544923 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 83458427407641 in words is "eighty-three trillion, four hundred fifty-eight billion, four hundred twenty-seven million, four hundred seven thousand, six hundred forty-one".

Divisors: 1 3 9 11 13 17 33 39 51 99 117 143 153 187 221 429 561 663 1287 1683 1989 2431 7293 21879 3814544879 11443634637 34330903911 41959993669 49589083427 64847262943 125879981007 148767250281 194541788829 377639943021 446301750843 545479917697 583625366487 713319892373 843014418259 1636439753091 2139959677119 2529043254777 4909319259273 6419879031357 7587129764331 9273158600849 27819475802547 83458427407641