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85482052474640 = 24517353178057933
BaseRepresentation
bin10011011011111011010111…
…010111110101011100010000
3102012200000010012202002221012
4103123323113113311130100
542201014220413142030
6501445525054350052
724001605643242263
oct2333732727653420
9365600105662835
1085482052474640
112526780a122708
129706bb24bb328
133890bcc987553
1417174d3ab2cda
159d38b72ed095
hex4dbed75f5710

85482052474640 has 80 divisors (see below), whose sum is σ = 211032838913328. Its totient is φ = 32090312736768.

The previous prime is 85482052474639. The next prime is 85482052474727. The reversal of 85482052474640 is 4647425028458.

It can be written as a sum of positive squares in 8 ways, for example, as 10676713090576 + 74805339384064 = 3267524^2 + 8649008^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 85482052474640.

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, 88548887 + ... + 89509046.

Almost surely, 285482052474640 is an apocalyptic number.

85482052474640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85482052474640 is an abundant number, since it is smaller than the sum of its proper divisors (125550786438688).

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

85482052474640 is a wasteful number, since it uses less digits than its factorization.

85482052474640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178058316 (or 178058310 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 59.

The spelling of 85482052474640 in words is "eighty-five trillion, four hundred eighty-two billion, fifty-two million, four hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 353 680 706 1360 1412 1765 2824 3530 5648 6001 7060 12002 14120 24004 28240 30005 48008 60010 96016 120020 240040 480080 178057933 356115866 712231732 890289665 1424463464 1780579330 2848926928 3026984861 3561158660 6053969722 7122317320 12107939444 14244634640 15134924305 24215878888 30269848610 48431757776 60539697220 62854450349 121079394440 125708900698 242158788880 251417801396 314272251745 502835602792 628544503490 1005671205584 1068525655933 1257089006980 2137051311866 2514178013960 4274102623732 5028356027920 5342628279665 8548205247464 10685256559330 17096410494928 21370513118660 42741026237320 85482052474640