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66011732127 = 32114116263053
BaseRepresentation
bin111101011110100110…
…110001100010011111
320022101110201102212200
4331132212301202133
52040143000412002
650154140302543
74524555315345
oct753646614237
9208343642780
1066011732127
1125aa49a1420
1210963241a53
1362c00a3033
1432a3077995
151ab5406b1c
hexf5e9b189f

66011732127 has 24 divisors (see below), whose sum is σ = 106555529808. Its totient is φ = 39031324800.

The previous prime is 66011732117. The next prime is 66011732159. The reversal of 66011732127 is 72123711066.

It is a happy number.

66011732127 is a `hidden beast` number, since 6 + 601 + 1 + 7 + 3 + 21 + 27 = 666.

It is not a de Polignac number, because 66011732127 - 211 = 66011730079 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66011732091 and 66011732100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66011732117) 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, 8127468 + ... + 8135585.

It is an arithmetic number, because the mean of its divisors is an integer number (4439813742).

Almost surely, 266011732127 is an apocalyptic number.

66011732127 is a deficient number, since it is larger than the sum of its proper divisors (40543797681).

66011732127 is a wasteful number, since it uses less digits than its factorization.

66011732127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16263111 (or 16263108 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 66011732127 in words is "sixty-six billion, eleven million, seven hundred thirty-two thousand, one hundred twenty-seven".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 4059 16263053 48789159 146367477 178893583 536680749 666785173 1610042247 2000355519 6001066557 7334636903 22003910709 66011732127