Search a number
-
+
65200326480 = 243252927711273
BaseRepresentation
bin111100101110001111…
…100000011101010000
320020021220220202120200
4330232033200131100
52032012240421410
645541433135200
74465503426252
oct745617403520
9206256822520
1065200326480
1125718980343
121077755a500
1361c0c58853
1432273bdcd2
151a6907a3c0
hexf2e3e0750

65200326480 has 240 divisors, whose sum is σ = 227352836880. Its totient is φ = 16725123072.

The previous prime is 65200326473. The next prime is 65200326493. The reversal of 65200326480 is 8462300256.

65200326480 is a `hidden beast` number, since 6 + 5 + 2 + 0 + 0 + 3 + 2 + 648 + 0 = 666.

65200326480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8409623616 + 56790702864 = 91704^2 + 238308^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5778124 + ... + 5789396.

It is an arithmetic number, because the mean of its divisors is an integer number (947303487).

Almost surely, 265200326480 is an apocalyptic number.

65200326480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65200326480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113676418440).

65200326480 is an abundant number, since it is smaller than the sum of its proper divisors (162152510400).

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

65200326480 is a wasteful number, since it uses less digits than its factorization.

65200326480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11598 (or 11589 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 65200326480 in words is "sixty-five billion, two hundred million, three hundred twenty-six thousand, four hundred eighty".