Search a number
-
+
66373242808320 = 2113457243163233
BaseRepresentation
bin11110001011101101110011…
…00011110110100000000000
322201000012221102010021020000
433011312321203312200000
532144424400124331240
6353055240302120000
716660210555114500
oct1705667143664000
9281005842107200
1066373242808320
111a16a8092447a8
12753b6b4880000
132b05c7bc60c06
1412566a6c0da00
157a17c1362430
hex3c5db98f6800

66373242808320 has 2880 divisors, whose sum is σ = 286139467373760. Its totient is φ = 14664095760384.

The previous prime is 66373242808267. The next prime is 66373242808333. The reversal of 66373242808320 is 2380824237366.

66373242808320 is a `hidden beast` number, since 6 + 6 + 3 + 7 + 32 + 4 + 280 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×663732428083202 (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 284863702924 + ... + 284863703156.

It is an arithmetic number, because the mean of its divisors is an integer number (99353981727).

Almost surely, 266373242808320 is an apocalyptic number.

66373242808320 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 66373242808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143069733686880).

66373242808320 is an abundant number, since it is smaller than the sum of its proper divisors (219766224565440).

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

66373242808320 is a wasteful number, since it uses less digits than its factorization.

66373242808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 66373242808320 in words is "sixty-six trillion, three hundred seventy-three billion, two hundred forty-two million, eight hundred eight thousand, three hundred twenty".