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20413146438 = 2322349307117
BaseRepresentation
bin10011000000101101…
…111110010101000110
31221200121221021121200
4103000231332111012
5313301231141223
613213324323330
71321566611316
oct230055762506
957617837550
1020413146438
118725764063
123b583a3546
131c0416cc99
14db910d446
157e7179a43
hex4c0b7e546

20413146438 has 24 divisors (see below), whose sum is σ = 46151462448. Its totient is φ = 6508539312.

The previous prime is 20413146431. The next prime is 20413146443. The reversal of 20413146438 is 83464131402.

20413146438 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 3 + 1 + 4 + 643 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413146431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24653145 + ... + 24653972.

It is an arithmetic number, because the mean of its divisors is an integer number (1922977602).

Almost surely, 220413146438 is an apocalyptic number.

20413146438 is an abundant number, since it is smaller than the sum of its proper divisors (25738316010).

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

20413146438 is a wasteful number, since it uses less digits than its factorization.

20413146438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49307148 (or 49307145 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 20413146438 in words is "twenty billion, four hundred thirteen million, one hundred forty-six thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 49307117 98614234 147921351 295842702 443764053 887528106 1134063691 2268127382 3402191073 6804382146 10206573219 20413146438