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81709420641480 = 23325372165792997
BaseRepresentation
bin10010100101000001110100…
…111111011111110011001000
3101201022100022000101000111100
4102211001310333133303020
541202211343141011410
6445440442321301400
723132211420616062
oct2245016477376310
9351270260330440
1081709420641480
1124042852879045
1291b79bb794860
13367921c235958
141626a85532732
1596a6b23238c0
hex4a5074fdfcc8

81709420641480 has 144 divisors (see below), whose sum is σ = 272926775377620. Its totient is φ = 21200281984512.

The previous prime is 81709420641419. The next prime is 81709420641529. The reversal of 81709420641480 is 8414602490718.

81709420641480 is a `hidden beast` number, since 8 + 1 + 70 + 9 + 420 + 6 + 4 + 148 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 44215132106916 + 37494288534564 = 6649446^2 + 6123258^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82403659 + ... + 83389338.

Almost surely, 281709420641480 is an apocalyptic number.

It is an amenable number.

81709420641480 is an abundant number, since it is smaller than the sum of its proper divisors (191217354736140).

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

81709420641480 is a wasteful number, since it uses less digits than its factorization.

81709420641480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165793088 (or 165793044 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 81709420641480 in words is "eighty-one trillion, seven hundred nine billion, four hundred twenty million, six hundred forty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1369 1480 1665 2220 2664 2738 3330 4107 4440 5476 6660 6845 8214 10952 12321 13320 13690 16428 20535 24642 27380 32856 41070 49284 54760 61605 82140 98568 123210 164280 246420 492840 165792997 331585994 497378991 663171988 828964985 994757982 1326343976 1492136973 1657929970 1989515964 2486894955 2984273946 3315859940 3979031928 4973789910 5968547892 6134340889 6631719880 7460684865 9947579820 11937095784 12268681778 14921369730 18403022667 19895159640 24537363556 29842739460 30671704445 36806045334 49074727112 55209068001 59685478920 61343408890 73612090668 92015113335 110418136002 122686817780 147224181336 184030226670 220836272004 226970612893 245373635560 276045340005 368060453340 441672544008 453941225786 552090680010 680911838679 736120906680 907882451572 1104181360020 1134853064465 1361823677358 1815764903144 2042735516037 2208362720040 2269706128930 2723647354716 3404559193395 4085471032074 4539412257860 5447294709432 6809118386790 8170942064148 9078824515720 10213677580185 13618236773580 16341884128296 20427355160370 27236473547160 40854710320740 81709420641480