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486668386944 = 2733314542529
BaseRepresentation
bin1110001010011111011…
…00100100001010000000
31201112011202102121012000
413011033230210022000
530433144101340234
61011323344304000
750106045014655
oct7051754441200
91645152377160
10486668386944
11178438687273
127a3a0312000
1336b7b16003c
14197aa815c2c
15c9d552a899
hex714fb24280

486668386944 has 128 divisors (see below), whose sum is σ = 1482681792000. Its totient is φ = 156989767680.

The previous prime is 486668386931. The next prime is 486668386949. The reversal of 486668386944 is 449683866684.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4866683869442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is not an unprimeable number, because it can be changed into a prime (486668386949) 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, 2164129 + ... + 2378400.

It is an arithmetic number, because the mean of its divisors is an integer number (11583451500).

Almost surely, 2486668386944 is an apocalyptic number.

It is an amenable number.

486668386944 is an abundant number, since it is smaller than the sum of its proper divisors (996013405056).

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

486668386944 is a wasteful number, since it uses less digits than its factorization.

486668386944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4542583 (or 4542565 counting only the distinct ones).

The product of its digits is 1146617856, while the sum is 72.

The spelling of 486668386944 in words is "four hundred eighty-six billion, six hundred sixty-eight million, three hundred eighty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 279 288 372 384 432 496 558 576 744 837 864 992 1116 1152 1488 1674 1728 1984 2232 2976 3348 3456 3968 4464 5952 6696 8928 11904 13392 17856 26784 35712 53568 107136 4542529 9085058 13627587 18170116 27255174 36340232 40882761 54510348 72680464 81765522 109020696 122648283 140818399 145360928 163531044 218041392 245296566 281636798 290721856 327062088 422455197 436082784 490593132 563273596 581443712 654124176 844910394 872165568 981186264 1126547192 1267365591 1308248352 1689820788 1744331136 1962372528 2253094384 2534731182 2616496704 3379641576 3802096773 3924745056 4506188768 5069462364 5232993408 6759283152 7604193546 7849490112 9012377536 10138924728 13518566304 15208387092 15698980224 18024755072 20277849456 27037132608 30416774184 40555698912 54074265216 60833548368 81111397824 121667096736 162222795648 243334193472 486668386944