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66585590943480 = 2332572937214311491
BaseRepresentation
bin11110010001111001010100…
…11111101100111011111000
322201202112001022121012201200
433020330222133230323320
532211414242240142410
6353340555335414200
720011436005354530
oct1710745237547370
9281675038535650
1066585590943480
111a241877228684
127574897824360
132b1ccc059702b
141262a8cc524c0
157a709d8c33c0
hex3c8f2a7ecef8

66585590943480 has 768 divisors, whose sum is σ = 262906363699200. Its totient is φ = 14289680240640.

The previous prime is 66585590943457. The next prime is 66585590943493. The reversal of 66585590943480 is 8434909558566.

It is a happy number.

66585590943480 is a `hidden beast` number, since 6 + 6 + 5 + 8 + 5 + 59 + 0 + 94 + 3 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 66585590943399 and 66585590943408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5794580535 + ... + 5794592025.

It is an arithmetic number, because the mean of its divisors is an integer number (342325994400).

Almost surely, 266585590943480 is an apocalyptic number.

66585590943480 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 66585590943480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131453181849600).

66585590943480 is an abundant number, since it is smaller than the sum of its proper divisors (196320772755720).

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

66585590943480 is a wasteful number, since it uses less digits than its factorization.

66585590943480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13724 (or 13717 counting only the distinct ones).

The product of its (nonzero) digits is 1119744000, while the sum is 72.

The spelling of 66585590943480 in words is "sixty-six trillion, five hundred eighty-five billion, five hundred ninety million, nine hundred forty-three thousand, four hundred eighty".