Search a number
-
+
20182928292 = 22321740182241
BaseRepresentation
bin10010110010111111…
…110000101110100100
31221002120201222200200
4102302333300232210
5312313312201132
613134422110500
71313103026352
oct226277605644
957076658620
1020182928292
11861781182a
123ab327b430
131b98565627
14d967027d2
157d1d51d7c
hex4b2ff0ba4

20182928292 has 72 divisors (see below), whose sum is σ = 54154383192. Its totient is φ = 6316032000.

The previous prime is 20182928281. The next prime is 20182928299. The reversal of 20182928292 is 29282928102.

20182928292 is a `hidden beast` number, since 201 + 82 + 9 + 282 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11197025856 + 8985902436 = 105816^2 + 94794^2 .

It is not an unprimeable number, because it can be changed into a prime (20182928299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204292 + ... + 286532.

It is an arithmetic number, because the mean of its divisors is an integer number (752144211).

Almost surely, 220182928292 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 20182928292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27077191596).

20182928292 is an abundant number, since it is smaller than the sum of its proper divisors (33971454900).

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

20182928292 is a wasteful number, since it uses less digits than its factorization.

20182928292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82669 (or 82664 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 20182928292 in words is "twenty billion, one hundred eighty-two million, nine hundred twenty-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 401 612 802 1203 1604 2406 3609 4812 6817 7218 13634 14436 20451 27268 40902 61353 81804 82241 122706 164482 245412 246723 328964 493446 740169 986892 1398097 1480338 2796194 2960676 4194291 5592388 8388582 12582873 16777164 25165746 32978641 50331492 65957282 98935923 131914564 197871846 296807769 395743692 560636897 593615538 1121273794 1187231076 1681910691 2242547588 3363821382 5045732073 6727642764 10091464146 20182928292