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464727465440 = 2557616802217
BaseRepresentation
bin1101100001100111110…
…10100101110111100000
31122102112122201022011122
412300303322211313200
530103230212343230
6553254242231412
745401244164540
oct6606372456740
91572478638148
10464727465440
1116a0a95a2197
1276098355568
1334a92624754
14186c8853320
15c14e1bbbe5
hex6c33ea5de0

464727465440 has 96 divisors (see below), whose sum is σ = 1275334248384. Its totient is φ = 156723056640.

The previous prime is 464727465403. The next prime is 464727465451. The reversal of 464727465440 is 44564727464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3332789 + ... + 3469428.

It is an arithmetic number, because the mean of its divisors is an integer number (13284731754).

Almost surely, 2464727465440 is an apocalyptic number.

464727465440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464727465440 is an abundant number, since it is smaller than the sum of its proper divisors (810606782944).

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

464727465440 is a wasteful number, since it uses less digits than its factorization.

464727465440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6802300 (or 6802292 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 53.

The spelling of 464727465440 in words is "four hundred sixty-four billion, seven hundred twenty-seven million, four hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 70 80 112 122 140 160 224 244 280 305 427 488 560 610 854 976 1120 1220 1708 1952 2135 2440 3416 4270 4880 6832 8540 9760 13664 17080 34160 68320 6802217 13604434 27208868 34011085 47615519 54417736 68022170 95231038 108835472 136044340 190462076 217670944 238077595 272088680 380924152 414935237 476155190 544177360 761848304 829870474 952310380 1088354720 1523696608 1659740948 1904620760 2074676185 2904546659 3319481896 3809241520 4149352370 5809093318 6638963792 7618483040 8298704740 11618186636 13277927584 14522733295 16597409480 23236373272 29045466590 33194818960 46472746544 58090933180 66389637920 92945493088 116181866360 232363732720 464727465440