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66427472466 = 2334726173157
BaseRepresentation
bin111101110111011000…
…101100101001010010
320100110110000020102000
4331313120230221102
52042020413104331
650303311134430
74541064125325
oct756730545122
9210413006360
1066427472466
1126198638283
1210a5a514416
136358265c34
1433023787bc
151adbb790e6
hexf7762ca52

66427472466 has 32 divisors (see below), whose sum is σ = 150757390080. Its totient is φ = 21671373168.

The previous prime is 66427472401. The next prime is 66427472467.

66427472466 is a `hidden beast` number, since 6 + 6 + 42 + 74 + 72 + 466 = 666.

66427472466 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66427472467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13084041 + ... + 13089116.

It is an arithmetic number, because the mean of its divisors is an integer number (4711168440).

Almost surely, 266427472466 is an apocalyptic number.

66427472466 is an abundant number, since it is smaller than the sum of its proper divisors (84329917614).

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

66427472466 is a wasteful number, since it uses less digits than its factorization.

66427472466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26173215 (or 26173209 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 66427472466 in words is "sixty-six billion, four hundred twenty-seven million, four hundred seventy-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 2538 26173157 52346314 78519471 157038942 235558413 471116826 706675239 1230138379 1413350478 2460276758 3690415137 7380830274 11071245411 22142490822 33213736233 66427472466