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20315246500 = 22531719125791
BaseRepresentation
bin10010111010111000…
…100000111110100100
31221102210201110011001
4102322320200332210
5313101200342000
613155510123044
71316300513623
oct227270407644
957383643131
1020315246500
11868547741a
123b2b650484
131bb9ab3323
14daa1076ba
157dd78c46a
hex4bae20fa4

20315246500 has 96 divisors (see below), whose sum is σ = 49451351040. Its totient is φ = 7245504000.

The previous prime is 20315246473. The next prime is 20315246503. The reversal of 20315246500 is 564251302.

It is not an unprimeable number, because it can be changed into a prime (20315246503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98605 + ... + 224395.

It is an arithmetic number, because the mean of its divisors is an integer number (515118240).

Almost surely, 220315246500 is an apocalyptic number.

20315246500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20315246500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24725675520).

20315246500 is an abundant number, since it is smaller than the sum of its proper divisors (29136104540).

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

20315246500 is a wasteful number, since it uses less digits than its factorization.

20315246500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125846 (or 125834 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 20315246500 its reverse (564251302), we get a palindrome (20879497802).

It can be divided in two parts, 20315 and 246500, that added together give a triangular number (266815 = T730).

The spelling of 20315246500 in words is "twenty billion, three hundred fifteen million, two hundred forty-six thousand, five hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 125 170 190 250 323 340 380 425 475 500 646 850 950 1292 1615 1700 1900 2125 2375 3230 4250 4750 6460 8075 8500 9500 16150 32300 40375 80750 125791 161500 251582 503164 628955 1257910 2138447 2390029 2515820 3144775 4276894 4780058 6289550 8553788 9560116 10692235 11950145 12579100 15723875 21384470 23900290 31447750 40630493 42768940 47800580 53461175 59750725 62895500 81260986 106922350 119501450 162521972 203152465 213844700 239002900 267305875 298753625 406304930 534611750 597507250 812609860 1015762325 1069223500 1195014500 2031524650 4063049300 5078811625 10157623250 20315246500