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66195812032 = 26717232983157
BaseRepresentation
bin111101101001100100…
…111110111011000000
320022212022002200000221
4331221210332323000
52041032111441112
650224313552424
74532252055430
oct755144767300
9208768080027
1066195812032
11260898a0379
12109b4a15714
13631c274c5c
1432bd6b42c0
151ac6668e07
hexf6993eec0

66195812032 has 448 divisors, whose sum is σ = 174757201920. Its totient is φ = 24206966784.

The previous prime is 66195812017. The next prime is 66195812057. The reversal of 66195812032 is 23021859166.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 66195812032.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 421629298 + ... + 421629454.

It is an arithmetic number, because the mean of its divisors is an integer number (390083040).

Almost surely, 266195812032 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 66195812032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87378600960).

66195812032 is an abundant number, since it is smaller than the sum of its proper divisors (108561389888).

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

66195812032 is a wasteful number, since it uses less digits than its factorization.

66195812032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 66195812032 in words is "sixty-six billion, one hundred ninety-five million, eight hundred twelve thousand, thirty-two".