Search a number
-
+
245744267076 = 223272112292372
BaseRepresentation
bin1110010011011101111…
…1111110111101000100
3212111022100012020001100
43210313133332331010
513011241013021301
6304520544300100
723516525543100
oct3446737767504
9774270166040
10245744267076
1195246261100
123b763311630
131a23449b529
14bc7352c900
1565d43cb286
hex39377fef44

245744267076 has 729 divisors, whose sum is σ = 845434840887. Its totient is φ = 59963016960.

The previous prime is 245744267053. The next prime is 245744267077. The reversal of 245744267076 is 670762447542.

The square root of 245744267076 is 495726.

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

245744267076 is a `hidden beast` number, since 2 + 4 + 574 + 4 + 2 + 67 + 0 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52299116100 + 193445150976 = 228690^2 + 439824^2 .

It is not an unprimeable number, because it can be changed into a prime (245744267077) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 6641736930 + ... + 6641736966.

Almost surely, 2245744267076 is an apocalyptic number.

245744267076 is the 495726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245744267076

245744267076 is an abundant number, since it is smaller than the sum of its proper divisors (599690573811).

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

245744267076 is a wasteful number, since it uses less digits than its factorization.

245744267076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 54.

The spelling of 245744267076 in words is "two hundred forty-five billion, seven hundred forty-four million, two hundred sixty-seven thousand, seventy-six".