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85224960012 = 22323618276121
BaseRepresentation
bin100111101011111001…
…1011011000000001100
322010222110210112200110
41033113303123000030
52344020042210022
6103052442400020
76104645131113
oct1172763330014
9263873715613
1085224960012
11331642a4955
1214625800010
13806277992a
1441a6a78c7a
15233c06000c
hex13d7cdb00c

85224960012 has 96 divisors (see below), whose sum is σ = 211195482624. Its totient is φ = 26691033600.

The previous prime is 85224960011. The next prime is 85224960019. The reversal of 85224960012 is 21006942258.

It is not an unprimeable number, because it can be changed into a prime (85224960011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13920312 + ... + 13926432.

It is an arithmetic number, because the mean of its divisors is an integer number (2199952944).

Almost surely, 285224960012 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 85224960012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105597741312).

85224960012 is an abundant number, since it is smaller than the sum of its proper divisors (125970522612).

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

85224960012 is a wasteful number, since it uses less digits than its factorization.

85224960012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7039 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 85224960012 in words is "eighty-five billion, two hundred twenty-four million, nine hundred sixty thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 61 69 92 122 138 183 244 276 366 732 827 1403 1654 2481 2806 3308 4209 4962 5612 6121 8418 9924 12242 16836 18363 19021 24484 36726 38042 50447 57063 73452 76084 100894 114126 140783 151341 201788 228252 281566 302682 373381 422349 563132 605364 746762 844698 1120143 1160281 1493524 1689396 2240286 2320562 3480843 4480572 4641124 5062067 6961686 8587763 10124134 13923372 15186201 17175526 20248268 25763289 30372402 34351052 51526578 60744804 103053156 116427541 232855082 308786087 349282623 465710164 617572174 698565246 926358261 1235144348 1397130492 1852716522 3705433044 7102080001 14204160002 21306240003 28408320004 42612480006 85224960012