Search a number
-
+
65989541376 = 2934111767127
BaseRepresentation
bin111101011101010010…
…000111111000000000
320022022220222000220000
4331131102013320000
52040121310311001
650152024520000
74524165563313
oct753522077000
9208286860800
1065989541376
1125a93415160
1210957920000
1362b8603705
1432a013c97a
151ab34c1a86
hexf5d487e00

65989541376 has 800 divisors, whose sum is σ = 232719962112. Its totient is φ = 18393661440.

The previous prime is 65989541353. The next prime is 65989541389. The reversal of 65989541376 is 67314598956.

65989541376 is a `hidden beast` number, since 6 + 5 + 9 + 89 + 541 + 3 + 7 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (48988800) is a multiple of the sum of its prime factors (252).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 519602625 + ... + 519602751.

Almost surely, 265989541376 is an apocalyptic number.

65989541376 is a gapful number since it is divisible by the number (66) 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 65989541376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116359981056).

65989541376 is an abundant number, since it is smaller than the sum of its proper divisors (166730420736).

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

65989541376 is a wasteful number, since it uses less digits than its factorization.

65989541376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 227 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 65989541376 in words is "sixty-five billion, nine hundred eighty-nine million, five hundred forty-one thousand, three hundred seventy-six".