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484054368528 = 2431719103303119
BaseRepresentation
bin1110000101100111110…
…00111000000100010000
31201021102120200201001010
413002303320320010100
530412320404243103
61010212125010520
746654214150013
oct7026370700420
91637376621033
10484054368528
11177317087575
12799909b3a40
133685271c493
14195dd5a537a
15c8d0ccb903
hex70b3e38110

484054368528 has 160 divisors (see below), whose sum is σ = 1407252787200. Its totient is φ = 142470309888.

The previous prime is 484054368503. The next prime is 484054368533. The reversal of 484054368528 is 825863450484.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1445353 + ... + 1748471.

It is an arithmetic number, because the mean of its divisors is an integer number (8795329920).

Almost surely, 2484054368528 is an apocalyptic number.

484054368528 is a gapful number since it is divisible by the number (48) 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 484054368528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703626393600).

484054368528 is an abundant number, since it is smaller than the sum of its proper divisors (923198418672).

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

484054368528 is a wasteful number, since it uses less digits than its factorization.

484054368528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303269 (or 303263 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 57.

The spelling of 484054368528 in words is "four hundred eighty-four billion, fifty-four million, three hundred sixty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 103 114 136 152 204 206 228 272 304 309 323 408 412 456 618 646 816 824 912 969 1236 1292 1648 1751 1938 1957 2472 2584 3502 3876 3914 4944 5168 5253 5871 7004 7752 7828 10506 11742 14008 15504 15656 21012 23484 28016 31312 33269 42024 46968 66538 84048 93936 99807 133076 199614 266152 303119 399228 532304 606238 798456 909357 1212476 1596912 1818714 2424952 3637428 4849904 5153023 5759261 7274856 10306046 11518522 14549712 15459069 17277783 20612092 23037044 30918138 31221257 34555566 41224184 46074088 61836276 62442514 69111132 82448368 92148176 93663771 97907437 123672552 124885028 138222264 187327542 195814874 247345104 249770056 276444528 293722311 374655084 391629748 499540112 530761369 587444622 593203883 749310168 783259496 1061522738 1174889244 1186407766 1498620336 1566518992 1592284107 1779611649 2123045476 2349778488 2372815532 3184568214 3559223298 4246090952 4699556976 4745631064 6369136428 7118446596 8492181904 9491262128 10084466011 12738272856 14236893192 20168932022 25476545712 28473786384 30253398033 40337864044 60506796066 80675728088 121013592132 161351456176 242027184264 484054368528