Search a number
-
+
50040795204 = 223223216212
BaseRepresentation
bin101110100110101010…
…011111000001000100
311210011102120210010100
4232212222133001010
51304440420421304
634553255524100
73421025512131
oct564652370104
9153142523110
1050040795204
111a2497a70a4
129846689630
1349463544ba
1425c9d0d588
15147d252439
hexba6a9f044

50040795204 has 81 divisors (see below), whose sum is σ = 132312401949. Its totient is φ = 15945193440.

The previous prime is 50040795199. The next prime is 50040795229. The reversal of 50040795204 is 40259704005.

The square root of 50040795204 is 223698.

It is a perfect power (a square), and thus also a powerful number.

50040795204 is a `hidden beast` number, since 500 + 40 + 7 + 95 + 20 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38454425604 + 11586369600 = 196098^2 + 107640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 30869514 + ... + 30871134.

Almost surely, 250040795204 is an apocalyptic number.

50040795204 is the 223698-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50040795204

50040795204 is an abundant number, since it is smaller than the sum of its proper divisors (82271606745).

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

50040795204 is a wasteful number, since it uses less digits than its factorization.

50040795204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 50040795204 by its sum of digits (36), we get a square (1801468627344 = 13421882).

50040795204 divided by its sum of digits (36) gives a square (1390022089 = 372832).

The spelling of 50040795204 in words is "fifty billion, forty million, seven hundred ninety-five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 1621 2116 3174 3242 4761 4863 6348 6484 9522 9726 14589 19044 19452 29178 37283 58356 74566 111849 149132 223698 335547 447396 671094 857509 1342188 1715018 2572527 2627641 3430036 5145054 5255282 7717581 7882923 10290108 10510564 15435162 15765846 23648769 30870324 31531692 47297538 60435743 94595076 120871486 181307229 241742972 362614458 543921687 725228916 1087843374 1390022089 2175686748 2780044178 4170066267 5560088356 8340132534 12510198801 16680265068 25020397602 50040795204