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20852068050 = 232521118012339
BaseRepresentation
bin10011011010111000…
…010100111011010010
31222211012211210212200
4103122320110323102
5320201112134200
613325044104030
71335506440212
oct233270247322
958735753780
1020852068050
1189304a33a0
12405b395016
131c7408b308
14101b526242
1582097a800
hex4dae14ed2

20852068050 has 144 divisors (see below), whose sum is σ = 61175593440. Its totient is φ = 5050080000.

The previous prime is 20852068001. The next prime is 20852068057. The reversal of 20852068050 is 5086025802.

20852068050 is a `hidden beast` number, since 2 + 0 + 8 + 520 + 6 + 80 + 50 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20852067996 and 20852068014.

It is not an unprimeable number, because it can be changed into a prime (20852068057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8913781 + ... + 8916119.

It is an arithmetic number, because the mean of its divisors is an integer number (424830510).

Almost surely, 220852068050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20852068050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30587796720).

20852068050 is an abundant number, since it is smaller than the sum of its proper divisors (40323525390).

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

20852068050 is a wasteful number, since it uses less digits than its factorization.

20852068050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 20852068050 in words is "twenty billion, eight hundred fifty-two million, sixty-eight thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 1801 2339 2475 3602 4678 4950 5403 7017 9005 10806 11695 14034 16209 18010 19811 21051 23390 25729 27015 32418 35085 39622 42102 45025 51458 54030 58475 59433 70170 77187 81045 90050 99055 105255 116950 118866 128645 135075 154374 162090 175425 178299 198110 210510 231561 257290 270150 297165 350850 356598 385935 405225 463122 495275 526275 594330 643225 771870 810450 891495 990550 1052550 1157805 1286450 1485825 1782990 1929675 2315610 2971650 3859350 4212539 4457475 5789025 8425078 8914950 11578050 12637617 21062695 25275234 37912851 42125390 46337929 63188085 75825702 92675858 105313475 126376170 139013787 189564255 210626950 231689645 278027574 315940425 379128510 417041361 463379290 631880850 695068935 834082722 947821275 1158448225 1390137870 1895642550 2085206805 2316896450 3475344675 4170413610 6950689350 10426034025 20852068050