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80435173824 = 2633181125703
BaseRepresentation
bin100101011101001001…
…1110101100111000000
321200121122222012021000
41022322103311213000
52304212401030244
6100541300532000
75545154460645
oct1127223654700
9250548865230
1080435173824
1131126616675
12137096b1000
13777b340315
143c70897dcc
15215b7ce169
hex12ba4f59c0

80435173824 has 112 divisors (see below), whose sum is σ = 236604291840. Its totient is φ = 26795877120.

The previous prime is 80435173811. The next prime is 80435173849. The reversal of 80435173824 is 42837153408.

80435173824 is a `hidden beast` number, since 80 + 4 + 3 + 517 + 38 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 80435173824.

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, 3116557 + ... + 3142259.

It is an arithmetic number, because the mean of its divisors is an integer number (2112538320).

Almost surely, 280435173824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80435173824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118302145920).

80435173824 is an abundant number, since it is smaller than the sum of its proper divisors (156169118016).

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

80435173824 is a wasteful number, since it uses less digits than its factorization.

80435173824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27535 (or 27519 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 80435173824 in words is "eighty billion, four hundred thirty-five million, one hundred seventy-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 1811 3622 5433 7244 10866 14488 16299 21732 25703 28976 32598 43464 48897 51406 57952 65196 77109 86928 97794 102812 115904 130392 154218 173856 195588 205624 231327 260784 308436 347712 391176 411248 462654 521568 616872 693981 782352 822496 925308 1043136 1233744 1387962 1564704 1644992 1850616 2467488 2775924 3129408 3701232 4934976 5551848 7402464 11103696 14804928 22207392 44414784 46548133 93096266 139644399 186192532 279288798 372385064 418933197 558577596 744770128 837866394 1117155192 1256799591 1489540256 1675732788 2234310384 2513599182 2979080512 3351465576 4468620768 5027198364 6702931152 8937241536 10054396728 13405862304 20108793456 26811724608 40217586912 80435173824