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1664231424 = 21132311777
BaseRepresentation
bin110001100110010…
…0010100000000000
311021222112201022220
41203030202200000
511402020401144
6433050131040
756145506442
oct14314424000
94258481286
101664231424
11784462779
123a5420a80
13206a34a2b
1411b054492
159b18a919
hex63322800

1664231424 has 96 divisors (see below), whose sum is σ = 4630167360. Its totient is φ = 530579456.

The previous prime is 1664231417. The next prime is 1664231441. The reversal of 1664231424 is 4241324661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135424 + ... + 147200.

It is an arithmetic number, because the mean of its divisors is an integer number (48230910).

Almost surely, 21664231424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1664231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315083680).

1664231424 is an abundant number, since it is smaller than the sum of its proper divisors (2965935936).

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

1664231424 is a wasteful number, since it uses less digits than its factorization.

1664231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11825 (or 11805 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 1664231424 is about 40794.9926339005. The cubic root of 1664231424 is about 1185.0533601281.

The spelling of 1664231424 in words is "one billion, six hundred sixty-four million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2048 2208 2944 3072 4416 5888 6144 8832 11776 11777 17664 23552 23554 35328 35331 47104 47108 70656 70662 94216 141312 141324 188432 270871 282648 376864 541742 565296 753728 812613 1083484 1130592 1507456 1625226 2166968 2261184 3014912 3250452 4333936 4522368 6029824 6500904 8667872 9044736 12059648 13001808 17335744 18089472 24119296 26003616 34671488 36178944 52007232 69342976 72357888 104014464 138685952 208028928 277371904 416057856 554743808 832115712 1664231424