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66287370240 = 216325713219
BaseRepresentation
bin111101101111000010…
…010000000000000000
320100002200101022021200
4331233002100000000
52041224031321430
650241344221200
74534443231120
oct755702200000
9210080338250
1066287370240
1126126546413
1210a1b60a800
136335221200
1432cb908c80
151ace702460
hexf6f090000

66287370240 has 1224 divisors, whose sum is σ = 299345192640. Its totient is φ = 13249806336.

The previous prime is 66287370197. The next prime is 66287370263. The reversal of 66287370240 is 4207378266.

66287370240 is a `hidden beast` number, since 66 + 287 + 3 + 70 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3488808951 + ... + 3488808969.

Almost surely, 266287370240 is an apocalyptic number.

66287370240 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 66287370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149672596320).

66287370240 is an abundant number, since it is smaller than the sum of its proper divisors (233057822400).

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

66287370240 is a wasteful number, since it uses less digits than its factorization.

66287370240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 66287370240 in words is "sixty-six billion, two hundred eighty-seven million, three hundred seventy thousand, two hundred forty".