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66190087296 = 27321791991613
BaseRepresentation
bin111101101001001111…
…001001010010000000
320022211220022211011200
4331221033021102000
52041024130243141
650223551141200
74532152313304
oct755117112200
9208756284150
1066190087296
1126086640293
12109b2b14800
13631b01c338
1432bca23d04
151ac5dd7ab6
hexf693c9480

66190087296 has 192 divisors, whose sum is σ = 192614760000. Its totient is φ = 21816317952.

The previous prime is 66190087291. The next prime is 66190087303. The reversal of 66190087296 is 69278009166.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×661900872962 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66190087291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41034586 + ... + 41036198.

It is an arithmetic number, because the mean of its divisors is an integer number (1003201875).

Almost surely, 266190087296 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 66190087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96307380000).

66190087296 is an abundant number, since it is smaller than the sum of its proper divisors (126424672704).

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

66190087296 is a wasteful number, since it uses less digits than its factorization.

66190087296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 66190087296 in words is "sixty-six billion, one hundred ninety million, eighty-seven thousand, two hundred ninety-six".