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20031873156 = 223626212
BaseRepresentation
bin10010101001111111…
…100010000010000100
31220201001111121000000
4102221333202002010
5312011124420111
613111424321300
71306260053361
oct225177420204
956631447000
1020031873156
11854a519879
123a70773230
131b731873a9
14d80621468
157c3964c56
hex4a9fe2084

20031873156 has 63 divisors (see below), whose sum is σ = 52579684213. Its totient is φ = 6674743440.

The previous prime is 20031873139. The next prime is 20031873217. The reversal of 20031873156 is 65137813002.

The square root of 20031873156 is 141534.

It is a perfect power (a square), and thus also a powerful number.

20031873156 is a `hidden beast` number, since 20 + 0 + 318 + 7 + 315 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16503513156 + 3528360000 = 128466^2 + 59400^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20031873156.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7641526 + ... + 7644146.

Almost surely, 220031873156 is an apocalyptic number.

20031873156 is the 141534-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20031873156

20031873156 is an abundant number, since it is smaller than the sum of its proper divisors (32547811057).

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

20031873156 is an frugal number, since it uses more digits than its factorization.

20031873156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 20031873156 by its sum of digits (36), we get a square (721147433616 = 8492042).

20031873156 divided by its sum of digits (36) gives a square (556440921 = 235892).

The spelling of 20031873156 in words is "twenty billion, thirty-one million, eight hundred seventy-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2621 2916 5242 7863 10484 15726 23589 31452 47178 70767 94356 141534 212301 283068 424602 636903 849204 1273806 1910709 2547612 3821418 6869641 7642836 13739282 20608923 27478564 41217846 61826769 82435692 123653538 185480307 247307076 370960614 556440921 741921228 1112881842 1669322763 2225763684 3338645526 5007968289 6677291052 10015936578 20031873156