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20348536050 = 23252199227231
BaseRepresentation
bin10010111100110111…
…100000010011110010
31221112010100201211100
4102330313200103302
5313133211123200
613203055425230
71320153462663
oct227467402362
957463321740
1020348536050
1186a2244347
123b3a825216
131bc396a69b
14db06d136a
157e1665d00
hex4bcde04f2

20348536050 has 72 divisors (see below), whose sum is σ = 54944697600. Its totient is φ = 5398984800.

The previous prime is 20348536049. The next prime is 20348536129. The reversal of 20348536050 is 5063584302.

It is a happy number.

20348536050 is a `hidden beast` number, since 2 + 0 + 3 + 48 + 5 + 3 + 605 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20348535996 and 20348536014.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24066 + ... + 203165.

It is an arithmetic number, because the mean of its divisors is an integer number (763120800).

Almost surely, 220348536050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20348536050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27472348800).

20348536050 is an abundant number, since it is smaller than the sum of its proper divisors (34596161550).

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

20348536050 is a wasteful number, since it uses less digits than its factorization.

20348536050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227448 (or 227440 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

It can be divided in two parts, 2034 and 8536050, that added together give a square (8538084 = 29222).

The spelling of 20348536050 in words is "twenty billion, three hundred forty-eight million, five hundred thirty-six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 199 225 398 450 597 995 1194 1791 1990 2985 3582 4975 5970 8955 9950 14925 17910 29850 44775 89550 227231 454462 681693 1136155 1363386 2045079 2272310 3408465 4090158 5680775 6816930 10225395 11361550 17042325 20450790 34084650 45218969 51126975 90437938 102253950 135656907 226094845 271313814 406970721 452189690 678284535 813941442 1130474225 1356569070 2034853605 2260948450 3391422675 4069707210 6782845350 10174268025 20348536050