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85882080840 = 23353723838117
BaseRepresentation
bin100111111111011111…
…0001000111001001000
322012200021021201222220
41033332332020321020
52401341303041330
6103241555014040
76130144433223
oct1177676107110
9265607251886
1085882080840
1133471217516
121478989a320
138138954b1a
14422a0505ba
152379ab2710
hex13fef88e48

85882080840 has 128 divisors (see below), whose sum is σ = 264753308160. Its totient is φ = 22270823424.

The previous prime is 85882080833. The next prime is 85882080841. The reversal of 85882080840 is 4808028858.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85882080841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10576462 + ... + 10584578.

It is an arithmetic number, because the mean of its divisors is an integer number (2068385220).

Almost surely, 285882080840 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 85882080840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132376654080).

85882080840 is an abundant number, since it is smaller than the sum of its proper divisors (178871227320).

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

85882080840 is a wasteful number, since it uses less digits than its factorization.

85882080840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10551 (or 10547 counting only the distinct ones).

The product of its (nonzero) digits is 1310720, while the sum is 51.

The spelling of 85882080840 in words is "eighty-five billion, eight hundred eighty-two million, eighty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 2383 4440 4766 7149 8117 9532 11915 14298 16234 19064 23830 24351 28596 32468 35745 40585 47660 48702 57192 64936 71490 81170 88171 95320 97404 121755 142980 162340 176342 194808 243510 264513 285960 300329 324680 352684 440855 487020 529026 600658 705368 881710 900987 974040 1058052 1201316 1322565 1501645 1763420 1801974 2116104 2402632 2645130 3003290 3526840 3603948 4504935 5290260 6006580 7207896 9009870 10580520 12013160 18019740 19342811 36039480 38685622 58028433 77371244 96714055 116056866 154742488 193428110 232113732 290142165 386856220 464227464 580284330 715684007 773712440 1160568660 1431368014 2147052021 2321137320 2862736028 3578420035 4294104042 5725472056 7156840070 8588208084 10735260105 14313680140 17176416168 21470520210 28627360280 42941040420 85882080840