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20371307552 = 2523210972
BaseRepresentation
bin10010111110001110…
…010111110000100000
31221120201012122110022
4102332032113300200
5313210023320202
613205231453012
71320551154131
oct227616276040
957521178408
1020371307552
118704087972
123b46387168
131bc85b144b
14db373bc88
157e3662ea2
hex4be397c20

20371307552 has 54 divisors (see below), whose sum is σ = 41963819373. Its totient is φ = 9733917952.

The previous prime is 20371307533. The next prime is 20371307557. The reversal of 20371307552 is 25570317302.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 19375526416 + 995781136 = 139196^2 + 31556^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=100924.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20371307557) 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 8 ways as a sum of consecutive naturals, for example, 18569468 + ... + 18570564.

Almost surely, 220371307552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20371307552

20371307552 is an abundant number, since it is smaller than the sum of its proper divisors (21592511821).

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

20371307552 is an frugal number, since it uses more digits than its factorization.

20371307552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The spelling of 20371307552 in words is "twenty billion, three hundred seventy-one million, three hundred seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 1097 2116 2194 4232 4388 8464 8776 16928 17552 25231 35104 50462 100924 201848 403696 580313 807392 1160626 1203409 2321252 2406818 4642504 4813636 9285008 9627272 18570016 19254544 27678407 38509088 55356814 110713628 221427256 442854512 636603361 885709024 1273206722 2546413444 5092826888 10185653776 20371307552