Search a number
-
+
65496255264 = 2534112339859
BaseRepresentation
bin111100111111111000…
…011000101100100000
320021001112202111120000
4330333320120230200
52033114020132024
650031044020000
74506025661346
oct747770305440
9207045674500
1065496255264
112585aa23a90
121083a691600
13623a35c53b
143254813996
151a85032cc9
hexf3fe18b20

65496255264 has 240 divisors, whose sum is σ = 211057086240. Its totient is φ = 19760163840.

The previous prime is 65496255263. The next prime is 65496255301. The reversal of 65496255264 is 46255269456.

65496255264 is a `hidden beast` number, since 6 + 5 + 4 + 9 + 625 + 5 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (15552000) is a multiple of the sum of its prime factors (10125).

It is a self number, because there is not a number n which added to its sum of digits gives 65496255264.

It is not an unprimeable number, because it can be changed into a prime (65496255263) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 6638367 + ... + 6648225.

It is an arithmetic number, because the mean of its divisors is an integer number (879404526).

Almost surely, 265496255264 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 65496255264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105528543120).

65496255264 is an abundant number, since it is smaller than the sum of its proper divisors (145560830976).

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

65496255264 is a wasteful number, since it uses less digits than its factorization.

65496255264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10125 (or 10108 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 65496255264 in words is "sixty-five billion, four hundred ninety-six million, two hundred fifty-five thousand, two hundred sixty-four".