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1663019406 = 232317379769
BaseRepresentation
bin110001100011111…
…1010100110001110
311021220021010202100
41203013322212032
511401213110111
6433004135530
756132301036
oct14307724616
94256233670
101663019406
11783805104
123a4b375a6
132066cc169
1411ac1a8c6
159aeeb756
hex631fa98e

1663019406 has 48 divisors (see below), whose sum is σ = 3628825200. Its totient is φ = 550416384.

The previous prime is 1663019401. The next prime is 1663019411. The reversal of 1663019406 is 6049103661.

1663019406 is a `hidden beast` number, since 1 + 6 + 630 + 19 + 4 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1663019401) and next prime (1663019411).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663019401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2162190 + ... + 2162958.

It is an arithmetic number, because the mean of its divisors is an integer number (75600525).

Almost surely, 21663019406 is an apocalyptic number.

1663019406 is an abundant number, since it is smaller than the sum of its proper divisors (1965805794).

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

1663019406 is a wasteful number, since it uses less digits than its factorization.

1663019406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1663019406 is about 40780.1349433765. The cubic root of 1663019406 is about 1184.7656087174.

The spelling of 1663019406 in words is "one billion, six hundred sixty-three million, nineteen thousand, four hundred six".

Divisors: 1 2 3 6 9 18 317 379 634 758 769 951 1137 1538 1902 2274 2307 2853 3411 4614 5706 6822 6921 13842 120143 240286 243773 291451 360429 487546 582902 720858 731319 874353 1081287 1462638 1748706 2162574 2193957 2623059 4387914 5246118 92389967 184779934 277169901 554339802 831509703 1663019406