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85238521212 = 223132322113049
BaseRepresentation
bin100111101100010011…
…1001001110101111100
322011000102022112011010
41033120213021311330
52344032030134322
6103054045155220
76105201322125
oct1173047116574
9264012275133
1085238521212
1133170a17659
121462a25bb10
138065517400
1441a87a904c
15233d33d20c
hex13d89c9d7c

85238521212 has 72 divisors (see below), whose sum is σ = 215449340400. Its totient is φ = 26217085440.

The previous prime is 85238521211. The next prime is 85238521267. The reversal of 85238521212 is 21212583258.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85238521211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6525664 + ... + 6538712.

It is an arithmetic number, because the mean of its divisors is an integer number (2992351950).

Almost surely, 285238521212 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 85238521212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107724670200).

85238521212 is an abundant number, since it is smaller than the sum of its proper divisors (130210819188).

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

85238521212 is a wasteful number, since it uses less digits than its factorization.

85238521212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16303 (or 16288 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The spelling of 85238521212 in words is "eighty-five billion, two hundred thirty-eight million, five hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 3221 6442 9663 12884 13049 19326 26098 38652 39147 41873 52196 78294 83746 125619 156588 167492 169637 251238 339274 502476 508911 544349 678548 1017822 1088698 1633047 2035644 2177396 2205281 3266094 4410562 6532188 6615843 8821124 13231686 26463372 42030829 84061658 126092487 168123316 252184974 504369948 546400777 1092801554 1639202331 2185603108 3278404662 6556809324 7103210101 14206420202 21309630303 28412840404 42619260606 85238521212