Search a number
-
+
66022741440 = 2633546716363
BaseRepresentation
bin111101011111010000…
…110001010111000000
320022102020102202211000
4331133100301113000
52040203310211230
650155212252000
74525051020435
oct753720612700
9208366382730
1066022741440
1126000130927
1210966a71000
1362c2459116
1432a4701b8c
151ab637db60
hexf5f4315c0

66022741440 has 224 divisors, whose sum is σ = 233426568960. Its totient is φ = 17567290368.

The previous prime is 66022741439. The next prime is 66022741481. The reversal of 66022741440 is 4414722066.

66022741440 is a `hidden beast` number, since 6 + 602 + 2 + 7 + 4 + 1 + 4 + 40 = 666.

66022741440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 66022741395 and 66022741404.

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, 4026699 + ... + 4043061.

Almost surely, 266022741440 is an apocalyptic number.

66022741440 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 66022741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116713284480).

66022741440 is an abundant number, since it is smaller than the sum of its proper divisors (167403827520).

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

66022741440 is a wasteful number, since it uses less digits than its factorization.

66022741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16856 (or 16840 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 66022741440 in words is "sixty-six billion, twenty-two million, seven hundred forty-one thousand, four hundred forty".