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484768409506368 = 263131491303477267
BaseRepresentation
bin110111000111001001111000…
…0110110001101001001000000
32100120102101222221212020012220
41232032103300312031021000
51002014421200313200433
64435003311040051040
7204052235046104451
oct15616236066151100
92316371887766186
10484768409506368
1113050a145309719
1246453447603a80
1317a65607405180
14879ccb811b128
153b09e137682b3
hex1b8e4f0d8d240

484768409506368 has 112 divisors (see below), whose sum is σ = 1390549549502400. Its totient is φ = 148158439962624.

The previous prime is 484768409506333. The next prime is 484768409506369. The reversal of 484768409506368 is 863605904867484.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 484768409506293 and 484768409506302.

It is not an unprimeable number, because it can be changed into a prime (484768409506369) 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, 651366730 + ... + 652110537.

It is an arithmetic number, because the mean of its divisors is an integer number (12415620977700).

Almost surely, 2484768409506368 is an apocalyptic number.

484768409506368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

484768409506368 is an abundant number, since it is smaller than the sum of its proper divisors (905781139996032).

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

484768409506368 is a wasteful number, since it uses less digits than its factorization.

484768409506368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303477444 (or 1303477434 counting only the distinct ones).

The product of its (nonzero) digits is 6688604160, while the sum is 78.

The spelling of 484768409506368 in words is "four hundred eighty-four trillion, seven hundred sixty-eight billion, four hundred nine million, five hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 149 156 192 208 298 312 416 447 596 624 832 894 1192 1248 1788 1937 2384 2496 3576 3874 4768 5811 7152 7748 9536 11622 14304 15496 23244 28608 30992 46488 61984 92976 123968 185952 371904 1303477267 2606954534 3910431801 5213909068 7820863602 10427818136 15641727204 16945204471 20855636272 31283454408 33890408942 41711272544 50835613413 62566908816 67780817884 83422545088 101671226826 125133817632 135561635768 194218112783 203342453652 250267635264 271123271536 388436225566 406684907304 542246543072 582654338349 776872451132 813369814608 1084493086144 1165308676698 1553744902264 1626739629216 2330617353396 2524835466179 3107489804528 3253479258432 4661234706792 5049670932358 6214979609056 7574506398537 9322469413584 10099341864716 12429959218112 15149012797074 18644938827168 20198683729432 30298025594148 37289877654336 40397367458864 60596051188296 80794734917728 121192102376592 161589469835456 242384204753184 484768409506368