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484638668016 = 24397149969439
BaseRepresentation
bin1110000110101101011…
…01110011010011110000
31201022221022011012020220
413003112231303103300
530420014444334031
61010350120333040
750004540465036
oct7032655632360
91638838135226
10484638668016
11177596991408
1279b14614180
13369167ab919
1419657022556
15c917247596
hex70d6b734f0

484638668016 has 80 divisors (see below), whose sum is σ = 1265752320000. Its totient is φ = 159771838464.

The previous prime is 484638668011. The next prime is 484638668047. The reversal of 484638668016 is 610866836484.

It is a super-2 number, since 2×4846386680162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484638668011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6944625 + ... + 7014063.

It is an arithmetic number, because the mean of its divisors is an integer number (15821904000).

Almost surely, 2484638668016 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 484638668016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632876160000).

484638668016 is an abundant number, since it is smaller than the sum of its proper divisors (781113651984).

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

484638668016 is a wasteful number, since it uses less digits than its factorization.

484638668016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71046 (or 71040 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 484638668016 in words is "four hundred eighty-four billion, six hundred thirty-eight million, six hundred sixty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1499 1552 2328 2998 4497 4656 5996 8994 11992 17988 23984 35976 69439 71952 138878 145403 208317 277756 290806 416634 436209 555512 581612 833268 872418 1111024 1163224 1666536 1744836 2326448 3333072 3489672 6735583 6979344 13471166 20206749 26942332 40413498 53884664 80826996 104089061 107769328 161653992 208178122 312267183 323307984 416356244 624534366 832712488 1249068732 1665424976 2498137464 4996274928 10096638917 20193277834 30289916751 40386555668 60579833502 80773111336 121159667004 161546222672 242319334008 484638668016