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85348158324 = 223111359383873
BaseRepresentation
bin100111101111100100…
…1011000101101110100
322011022001121122222220
41033133021120231310
52344243112031244
6103113003122340
76111002242632
oct1173711305564
9264261548886
1085348158324
11332178a0640
121465ab133b0
138082153540
1441b9188352
152347c98319
hex13df258b74

85348158324 has 96 divisors (see below), whose sum is σ = 234358717824. Its totient is φ = 23833067520.

The previous prime is 85348158271. The next prime is 85348158349. The reversal of 85348158324 is 42385184358.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975652 + ... + 1059524.

It is an arithmetic number, because the mean of its divisors is an integer number (2441236644).

Almost surely, 285348158324 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 85348158324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117179358912).

85348158324 is an abundant number, since it is smaller than the sum of its proper divisors (149010559500).

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

85348158324 is a wasteful number, since it uses less digits than its factorization.

85348158324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84497 (or 84495 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 51.

The spelling of 85348158324 in words is "eighty-five billion, three hundred forty-eight million, one hundred fifty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 593 858 1186 1716 1779 2372 3558 6523 7116 7709 13046 15418 19569 23127 26092 30836 39138 46254 78276 83873 84799 92508 167746 169598 251619 254397 335492 339196 503238 508794 922603 1006476 1017588 1090349 1845206 2180698 2767809 3271047 3690412 4361396 5535618 6542094 11071236 11993839 13084188 23987678 35981517 47975356 49736689 71963034 99473378 143926068 149210067 198946756 298420134 547103579 596840268 646576957 1094207158 1293153914 1641310737 1939730871 2188414316 2586307828 3282621474 3879461742 6565242948 7112346527 7758923484 14224693054 21337039581 28449386108 42674079162 85348158324