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39966666993 = 3211237991901
BaseRepresentation
bin100101001110001100…
…101111000011110001
310211011100100001012200
4211032030233003301
51123322431320433
630205504213413
72613261031011
oct451614570361
9124140301180
1039966666993
1115a4a161500
1278b490a269
1339cc1b14a6
141d11db1c41
15108db00613
hex94e32f0f1

39966666993 has 36 divisors (see below), whose sum is σ = 65169945204. Its totient is φ = 23567544000.

The previous prime is 39966666989. The next prime is 39966667001.

39966666993 is nontrivially palindromic in base 10.

39966666993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31767002289 + 8199664704 = 178233^2 + 90552^2 .

It is not a de Polignac number, because 39966666993 - 22 = 39966666989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (39966666293) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 455658 + ... + 536243.

Almost surely, 239966666993 is an apocalyptic number.

39966666993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

39966666993 is a deficient number, since it is larger than the sum of its proper divisors (25203278211).

39966666993 is a wasteful number, since it uses less digits than its factorization.

39966666993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991966 (or 991952 counting only the distinct ones).

The product of its digits is 459165024, while the sum is 72.

The spelling of 39966666993 in words is "thirty-nine billion, nine hundred sixty-six million, six hundred sixty-six thousand, nine hundred ninety-three".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 1089 1221 3663 4477 13431 40293 991901 2975703 8927109 10910911 32732733 36700337 98198199 110101011 120020021 330303033 360060063 403703707 1080180189 1211111121 3633333363 4440740777 13322222331 39966666993