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20095741824 = 273313167197
BaseRepresentation
bin10010101101110011…
…001010111110000000
31220212111200110100020
4102231303022332000
5312124002214244
613122025253440
71310663662404
oct225563127600
956774613306
1020095741824
1185825822a4
123a8a034280
131b8348a1c2
14d88cc9104
157c937dd19
hex4adccaf80

20095741824 has 64 divisors (see below), whose sum is σ = 53550175440. Its totient is φ = 6677139456.

The previous prime is 20095741817. The next prime is 20095741843. The reversal of 20095741824 is 42814759002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36594 + ... + 203790.

Almost surely, 220095741824 is an apocalyptic number.

20095741824 is a gapful number since it is divisible by the number (24) 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 20095741824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26775087720).

20095741824 is an abundant number, since it is smaller than the sum of its proper divisors (33454433616).

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

20095741824 is a wasteful number, since it uses less digits than its factorization.

20095741824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167527 (or 167515 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 20095741824 in words is "twenty billion, ninety-five million, seven hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 313 384 626 939 1252 1878 2504 3756 5008 7512 10016 15024 20032 30048 40064 60096 120192 167197 334394 501591 668788 1003182 1337576 2006364 2675152 4012728 5350304 8025456 10700608 16050912 21401216 32101824 52332661 64203648 104665322 156997983 209330644 313995966 418661288 627991932 837322576 1255983864 1674645152 2511967728 3349290304 5023935456 6698580608 10047870912 20095741824