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20058644736 = 2833131931379
BaseRepresentation
bin10010101011100101…
…101010000100000000
31220202220212201201000
4102223211222010000
5312040003112421
613114222212000
71310033444544
oct225345520400
956686781630
1020058644736
118563644749
123a79724000
131b7889ba70
14d83dcda24
157c5ea2226
hex4ab96a100

20058644736 has 576 divisors, whose sum is σ = 69594112000. Its totient is φ = 5643509760.

The previous prime is 20058644713. The next prime is 20058644741. The reversal of 20058644736 is 63744685002.

20058644736 is a `hidden beast` number, since 20 + 0 + 586 + 4 + 47 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 20058644691 and 20058644700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52924995 + ... + 52925373.

Almost surely, 220058644736 is an apocalyptic number.

20058644736 is a gapful number since it is divisible by the number (26) 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 20058644736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34797056000).

20058644736 is an abundant number, since it is smaller than the sum of its proper divisors (49535467264).

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

20058644736 is a wasteful number, since it uses less digits than its factorization.

20058644736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 20058644736 in words is "twenty billion, fifty-eight million, six hundred forty-four thousand, seven hundred thirty-six".