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20354146461 = 32111712093967
BaseRepresentation
bin10010111101001100…
…111010000010011101
31221112111220202212100
4102331030322002131
5313141130141321
613203415555313
71320252250605
oct227514720235
957474822770
1020354146461
1186a5426550
123b4068bb39
131bc4b8325c
14db1351c05
157e1dc3326
hex4bd33a09d

20354146461 has 24 divisors (see below), whose sum is σ = 33959862144. Its totient is φ = 11610207360.

The previous prime is 20354146441. The next prime is 20354146469. The reversal of 20354146461 is 16464145302.

20354146461 is a `hidden beast` number, since 2 + 0 + 3 + 5 + 4 + 1 + 4 + 646 + 1 = 666.

It is not a de Polignac number, because 20354146461 - 25 = 20354146429 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20354146469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6045301 + ... + 6048666.

It is an arithmetic number, because the mean of its divisors is an integer number (1414994256).

Almost surely, 220354146461 is an apocalyptic number.

It is an amenable number.

20354146461 is a deficient number, since it is larger than the sum of its proper divisors (13605715683).

20354146461 is a wasteful number, since it uses less digits than its factorization.

20354146461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12094001 (or 12093998 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 20354146461 in words is "twenty billion, three hundred fifty-four million, one hundred forty-six thousand, four hundred sixty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 12093967 36281901 108845703 133033637 205597439 399100911 616792317 1197302733 1850376951 2261571829 6784715487 20354146461