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666142464 = 2831366721
BaseRepresentation
bin100111101101001…
…000011100000000
31201102110112200010
4213231020130000
52331013024324
6150033424520
722336055211
oct4755103400
91642415603
10666142464
11312024769
1216710b140
13a8016650
1464683408
153d735829
hex27b48700

666142464 has 72 divisors (see below), whose sum is σ = 1909316752. Its totient is φ = 204963840.

The previous prime is 666142429. The next prime is 666142469. The reversal of 666142464 is 464241666.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666142469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23377 + ... + 43344.

Almost surely, 2666142464 is an apocalyptic number.

666142464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

666142464 is an abundant number, since it is smaller than the sum of its proper divisors (1243174288).

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

666142464 is a wasteful number, since it uses less digits than its factorization.

666142464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66753 (or 66739 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 666142464 is about 25809.7358374703. The cubic root of 666142464 is about 873.3514380930.

The spelling of 666142464 in words is "six hundred sixty-six million, one hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 66721 133442 200163 266884 400326 533768 800652 867373 1067536 1601304 1734746 2135072 2602119 3202608 3469492 4270144 5204238 6405216 6938984 8540288 10408476 12810432 13877968 17080576 20816952 25620864 27755936 41633904 51241728 55511872 83267808 111023744 166535616 222047488 333071232 666142464