Search a number
-
+
66070579322880 = 213355112920809
BaseRepresentation
bin11110000010111010000010…
…11010010010000000000000
322122221021201021101011100000
433001131001122102000000
532130000021301313010
6352304223301200000
716626304355666346
oct1701350132220000
9278837637334300
1066070579322880
111a063414631470
1274b0b07400000
132ab3576391b22
141245b94061996
157989a9e327c0
hex3c1741692000

66070579322880 has 1344 divisors, whose sum is σ = 268052984035200. Its totient is φ = 15464052817920.

The previous prime is 66070579322861. The next prime is 66070579322911. The reversal of 66070579322880 is 8822397507066.

66070579322880 is a `hidden beast` number, since 6 + 6 + 0 + 7 + 0 + 579 + 32 + 28 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3175085916 + ... + 3175106724.

It is an arithmetic number, because the mean of its divisors is an integer number (199444184550).

Almost surely, 266070579322880 is an apocalyptic number.

66070579322880 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 66070579322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134026492017600).

66070579322880 is an abundant number, since it is smaller than the sum of its proper divisors (201982404712320).

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

66070579322880 is a wasteful number, since it uses less digits than its factorization.

66070579322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20895 (or 20859 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 66070579322880 in words is "sixty-six trillion, seventy billion, five hundred seventy-nine million, three hundred twenty-two thousand, eight hundred eighty".