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66005130240 = 21032571712037
BaseRepresentation
bin111101011110001101…
…100101110000000000
320022101000022000210100
4331132031211300000
52040134303131430
650153343002400
74524445231020
oct753615456000
9208330260710
1066005130240
1125aa11a2315
1210960b99400
1362bb9010aa
1432a2239a80
151ab4a50960
hexf5e365c00

66005130240 has 528 divisors, whose sum is σ = 276776540352. Its totient is φ = 14198243328.

The previous prime is 66005130209. The next prime is 66005130259. The reversal of 66005130240 is 4203150066.

66005130240 is a `hidden beast` number, since 6 + 600 + 5 + 1 + 30 + 24 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5477502 + ... + 5489538.

Almost surely, 266005130240 is an apocalyptic number.

66005130240 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 66005130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138388270176).

66005130240 is an abundant number, since it is smaller than the sum of its proper divisors (210771410112).

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

66005130240 is a wasteful number, since it uses less digits than its factorization.

66005130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12092 (or 12071 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 66005130240 in words is "sixty-six billion, five million, one hundred thirty thousand, two hundred forty".