Search a number
-
+
20023785828 = 22327340119001
BaseRepresentation
bin10010101001100000…
…101011100101100100
31220200111021201021100
4102221200223211210
5312002042121303
613110535120100
71306131241224
oct225140534544
956614251240
1020023785828
1185459a5732
123a69b13030
131b715b52a7
14d7d518084
157c2db88a3
hex4a982b964

20023785828 has 72 divisors (see below), whose sum is σ = 51439706136. Its totient is φ = 6566400000.

The previous prime is 20023785827. The next prime is 20023785829. The reversal of 20023785828 is 82858732002.

20023785828 is a `hidden beast` number, since 200 + 2 + 378 + 58 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (20023785827) and next prime (20023785829).

It can be written as a sum of positive squares in 4 ways, for example, as 5978691684 + 14045094144 = 77322^2 + 118512^2 .

It is a super-2 number, since 2×200237858282 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20023785823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1044328 + ... + 1063328.

It is an arithmetic number, because the mean of its divisors is an integer number (714440363).

Almost surely, 220023785828 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 20023785828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25719853068).

20023785828 is an abundant number, since it is smaller than the sum of its proper divisors (31415920308).

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

20023785828 is a wasteful number, since it uses less digits than its factorization.

20023785828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19485 (or 19480 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 20023785828 in words is "twenty billion, twenty-three million, seven hundred eighty-five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 401 438 657 802 876 1203 1314 1604 2406 2628 3609 4812 7218 14436 19001 29273 38002 57003 58546 76004 87819 114006 117092 171009 175638 228012 263457 342018 351276 526914 684036 1053828 1387073 2774146 4161219 5548292 7619401 8322438 12483657 15238802 16644876 22858203 24967314 30477604 45716406 49934628 68574609 91432812 137149218 274298436 556216273 1112432546 1668648819 2224865092 3337297638 5005946457 6674595276 10011892914 20023785828