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66130443243144 = 23347192293350729
BaseRepresentation
bin11110000100101001100011…
…00101000000111010001000
322200011000020021220101210000
433002110301211000322020
532131440121432240034
6352351523424523000
716633524013632210
oct1702246145007210
9280130207811700
1066130443243144
111a086844214835
127500633780460
132ab90c6885157
141248a32811240
1579a310755599
hex3c2531940e88

66130443243144 has 320 divisors, whose sum is σ = 223801958160000. Its totient is φ = 17821798474752.

The previous prime is 66130443243133. The next prime is 66130443243253. The reversal of 66130443243144 is 44134234403166.

66130443243144 is a `hidden beast` number, since 6 + 6 + 1 + 3 + 0 + 4 + 4 + 324 + 314 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 66130443243144.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18060772 + ... + 21411500.

It is an arithmetic number, because the mean of its divisors is an integer number (699381119250).

Almost surely, 266130443243144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66130443243144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111900979080000).

66130443243144 is an abundant number, since it is smaller than the sum of its proper divisors (157671514916856).

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

66130443243144 is a wasteful number, since it uses less digits than its factorization.

66130443243144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351002 (or 3350989 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 66130443243144 in words is "sixty-six trillion, one hundred thirty billion, four hundred forty-three million, two hundred forty-three thousand, one hundred forty-four".