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66299212224 = 2632730495393
BaseRepresentation
bin111101101111101111…
…011011000111000000
320100010111122221102200
4331233233123013000
52041240044242344
650242450113200
74534646001630
oct755757330700
9210114587380
1066299212224
11261321a4483
1210a2357b800
1363378092bb
1432cd30c6c0
151ad0791069
hexf6fbdb1c0

66299212224 has 168 divisors, whose sum is σ = 217294053600. Its totient is φ = 18932908032.

The previous prime is 66299212219. The next prime is 66299212261. The reversal of 66299212224 is 42221299266.

66299212224 is a `hidden beast` number, since 6 + 629 + 9 + 2 + 12 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 66299212224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12290872 + ... + 12296264.

Almost surely, 266299212224 is an apocalyptic number.

66299212224 is a gapful number since it is divisible by the number (64) 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 66299212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108647026800).

66299212224 is an abundant number, since it is smaller than the sum of its proper divisors (150994841376).

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

66299212224 is a wasteful number, since it uses less digits than its factorization.

66299212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8467 (or 8454 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 66299212224 in words is "sixty-six billion, two hundred ninety-nine million, two hundred twelve thousand, two hundred twenty-four".