Search a number
-
+
49086532265472 = 293313521524261
BaseRepresentation
bin10110010100100110110010…
…10100011010011000000000
320102210121220211110101022000
423022103121110122120000
522413213204224443342
6252222012553344000
713224246012661332
oct1312233124323000
9212717824411260
1049086532265472
1114705532864a89
125609370408000
132150abc9c92b0
14c19b2d6dd452
155a1cc00dd44c
hex2ca4d951a600

49086532265472 has 320 divisors, whose sum is σ = 156777070000320. Its totient is φ = 15074530099200.

The previous prime is 49086532265467. The next prime is 49086532265509. The reversal of 49086532265472 is 27456223568094.

49086532265472 is a `hidden beast` number, since 4 + 9 + 0 + 8 + 6 + 532 + 26 + 5 + 4 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93367822 + ... + 93892082.

It is an arithmetic number, because the mean of its divisors is an integer number (489928343751).

Almost surely, 249086532265472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49086532265472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78388535000160).

49086532265472 is an abundant number, since it is smaller than the sum of its proper divisors (107690537734848).

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

49086532265472 is a wasteful number, since it uses less digits than its factorization.

49086532265472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524822 (or 524800 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 49086532265472 in words is "forty-nine trillion, eighty-six billion, five hundred thirty-two million, two hundred sixty-five thousand, four hundred seventy-two".