Search a number
-
+
66021208704 = 27331121737251
BaseRepresentation
bin111101011111001010…
…111011001010000000
320022102010112220022000
4331133022323022000
52040202412134304
650155115344000
74525032005013
oct753712731200
9208363486260
1066021208704
1125aaa284300
1210966452000
1362c2040589
1432a442337a
151ab6179939
hexf5f2bb280

66021208704 has 768 divisors, whose sum is σ = 233834428800. Its totient is φ = 18247680000.

The previous prime is 66021208697. The next prime is 66021208711. The reversal of 66021208704 is 40780212066.

It is an interprime number because it is at equal distance from previous prime (66021208697) and next prime (66021208711).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263032579 + ... + 263032829.

Almost surely, 266021208704 is an apocalyptic number.

66021208704 is a gapful number since it is divisible by the number (64) 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 66021208704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116917214400).

66021208704 is an abundant number, since it is smaller than the sum of its proper divisors (167813220096).

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

66021208704 is a wasteful number, since it uses less digits than its factorization.

66021208704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 66021208704 in words is "sixty-six billion, twenty-one million, two hundred eight thousand, seven hundred four".