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20682285200 = 2452106148733
BaseRepresentation
bin10011010000110000…
…101010000010010000
31222101101100221120222
4103100300222002100
5314324131111300
613300141052212
71331345344403
oct232060520220
958341327528
1020682285200
118853679a95
124012557068
131c47b53aa5
141002b6bd3a
15810ade785
hex4d0c2a090

20682285200 has 60 divisors (see below), whose sum is σ = 49737043188. Its totient is φ = 8264947200.

The previous prime is 20682285157. The next prime is 20682285259. The reversal of 20682285200 is 258228602.

It can be written as a sum of positive squares in 6 ways, for example, as 88887184 + 20593398016 = 9428^2 + 143504^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400034 + ... + 448766.

Almost surely, 220682285200 is an apocalyptic number.

20682285200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20682285200 is an abundant number, since it is smaller than the sum of its proper divisors (29054757988).

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

20682285200 is a wasteful number, since it uses less digits than its factorization.

20682285200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49812 (or 49801 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The spelling of 20682285200 in words is "twenty billion, six hundred eighty-two million, two hundred eighty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1061 2122 4244 5305 8488 10610 16976 21220 26525 42440 48733 53050 84880 97466 106100 194932 212200 243665 389864 424400 487330 779728 974660 1218325 1949320 2436650 3898640 4873300 9746600 19493200 51705713 103411426 206822852 258528565 413645704 517057130 827291408 1034114260 1292642825 2068228520 2585285650 4136457040 5170571300 10341142600 20682285200