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20245244500 = 2253136135081
BaseRepresentation
bin10010110110101101…
…011110101001010100
31221020220222222110101
4102312231132221110
5312430240311000
613144525503444
71314460511305
oct226655365124
957226888411
1020245244500
118649a04928
123b10111b84
131ba8443920
14da0ac47ac
157d7560e6a
hex4b6b5ea54

20245244500 has 96 divisors (see below), whose sum is σ = 47703880224. Its totient is φ = 7461504000.

The previous prime is 20245244447. The next prime is 20245244561. The reversal of 20245244500 is 544254202.

It can be written as a sum of positive squares in 16 ways, for example, as 19523355076 + 721889424 = 139726^2 + 26868^2 .

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3981960 + ... + 3987040.

It is an arithmetic number, because the mean of its divisors is an integer number (496915419).

Almost surely, 220245244500 is an apocalyptic number.

20245244500 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 20245244500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23851940112).

20245244500 is an abundant number, since it is smaller than the sum of its proper divisors (27458635724).

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

20245244500 is a wasteful number, since it uses less digits than its factorization.

20245244500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726 (or 5714 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

Adding to 20245244500 its reverse (544254202), we get a palindrome (20789498702).

The spelling of 20245244500 in words is "twenty billion, two hundred forty-five million, two hundred forty-four thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 613 650 1226 1300 1625 2452 3065 3250 5081 6130 6500 7969 10162 12260 15325 15938 20324 25405 30650 31876 39845 50810 61300 66053 76625 79690 101620 127025 132106 153250 159380 199225 254050 264212 306500 330265 398450 508100 635125 660530 796900 996125 1270250 1321060 1651325 1992250 2540500 3114653 3302650 3984500 6229306 6605300 8256625 12458612 15573265 16513250 31146530 33026500 40490489 62293060 77866325 80980978 155732650 161961956 202452445 311465300 389331625 404904890 778663250 809809780 1012262225 1557326500 2024524450 4049048900 5061311125 10122622250 20245244500