Search a number
-
+
489944997120 = 2835413330871
BaseRepresentation
bin1110010000100101111…
…11110101110100000000
31201211122002221122100110
413020102333311310000
531011401404401440
61013024433351320
750253202522215
oct7102277656400
91654562848313
10489944997120
1117986a1a5a67
127ab55708540
1337280c43027
14199dba63b0c
15cb2800d080
hex7212ff5d00

489944997120 has 144 divisors (see below), whose sum is σ = 1565191135872. Its totient is φ = 130616156160.

The previous prime is 489944997107. The next prime is 489944997151. The reversal of 489944997120 is 21799449984.

It is a happy number.

It is a super-2 number, since 2×4899449971202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15855285 + ... + 15886155.

It is an arithmetic number, because the mean of its divisors is an integer number (10869382888).

Almost surely, 2489944997120 is an apocalyptic number.

489944997120 is a gapful number since it is divisible by the number (40) 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 489944997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782595567936).

489944997120 is an abundant number, since it is smaller than the sum of its proper divisors (1075246138752).

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

489944997120 is a wasteful number, since it uses less digits than its factorization.

489944997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35028 (or 35014 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The spelling of 489944997120 in words is "four hundred eighty-nine billion, nine hundred forty-four million, nine hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 4133 8266 12399 16532 20665 24798 30871 33064 41330 49596 61742 61995 66128 82660 92613 99192 123484 123990 132256 154355 165320 185226 198384 246968 247980 264512 308710 330640 370452 396768 463065 493936 495960 529024 617420 661280 740904 793536 926130 987872 991920 1058048 1234840 1322560 1481808 1587072 1852260 1975744 1983840 2469680 2645120 2963616 3174144 3704520 3951488 3967680 4939360 5290240 5927232 7409040 7902976 7935360 9878720 11854464 14818080 15870720 19757440 23708928 29636160 39514880 59272320 118544640 127589843 255179686 382769529 510359372 637949215 765539058 1020718744 1275898430 1531078116 1913847645 2041437488 2551796860 3062156232 3827695290 4082874976 5103593720 6124312464 7655390580 8165749952 10207187440 12248624928 15310781160 16331499904 20414374880 24497249856 30621562320 32662999808 40828749760 48994499712 61243124640 81657499520 97988999424 122486249280 163314999040 244972498560 489944997120