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1664603376 = 2431913113933
BaseRepresentation
bin110001100110111…
…1101010011110000
311022000020121112220
41203031331103300
511402114302001
6433102121040
756151616032
oct14315752360
94260217486
101664603376
11784697177
123a5580180
13206b35117
1411b10dc52
159b210c36
hex6337d4f0

1664603376 has 80 divisors (see below), whose sum is σ = 4561434240. Its totient is φ = 521614080.

The previous prime is 1664603363. The next prime is 1664603407. The reversal of 1664603376 is 6733064661.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 112506 + ... + 126438.

It is an arithmetic number, because the mean of its divisors is an integer number (57017928).

Almost surely, 21664603376 is an apocalyptic number.

1664603376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1664603376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280717120).

1664603376 is an abundant number, since it is smaller than the sum of its proper divisors (2896830864).

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

1664603376 is a wasteful number, since it uses less digits than its factorization.

1664603376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14094 (or 14088 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 1664603376 is about 40799.5511740019. The cubic root of 1664603376 is about 1185.1416391433.

The spelling of 1664603376 in words is "one billion, six hundred sixty-four million, six hundred three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 131 152 228 262 304 393 456 524 786 912 1048 1572 2096 2489 3144 4978 6288 7467 9956 13933 14934 19912 27866 29868 39824 41799 55732 59736 83598 111464 119472 167196 222928 264727 334392 529454 668784 794181 1058908 1588362 1825223 2117816 3176724 3650446 4235632 5475669 6353448 7300892 10951338 12706896 14601784 21902676 29203568 34679237 43805352 69358474 87610704 104037711 138716948 208075422 277433896 416150844 554867792 832301688 1664603376