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85854370128 = 24353193174859
BaseRepresentation
bin100111111110101010…
…0011011100101010000
322012121100010220001020
41033331110123211100
52401312204321003
6103235125035440
76126360051042
oct1177524334520
9265540126036
1085854370128
113345760aaaa
1214780555b80
138132ca1b57
1442264b9a92
15237743bd53
hex13fd51b950

85854370128 has 80 divisors (see below), whose sum is σ = 227147336640. Its totient is φ = 27932516352.

The previous prime is 85854370127. The next prime is 85854370177. The reversal of 85854370128 is 82107345858.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85854370127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403563 + ... + 578421.

It is an arithmetic number, because the mean of its divisors is an integer number (2839341708).

Almost surely, 285854370128 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 85854370128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113573668320).

85854370128 is an abundant number, since it is smaller than the sum of its proper divisors (141292966512).

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

85854370128 is a wasteful number, since it uses less digits than its factorization.

85854370128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175116 (or 175110 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 85854370128 in words is "eighty-five billion, eight hundred fifty-four million, three hundred seventy thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 193 212 318 386 424 579 636 772 848 1158 1272 1544 2316 2544 3088 4632 9264 10229 20458 30687 40916 61374 81832 122748 163664 174859 245496 349718 490992 524577 699436 1049154 1398872 2098308 2797744 4196616 8393232 9267527 18535054 27802581 33747787 37070108 55605162 67495574 74140216 101243361 111210324 134991148 148280432 202486722 222420648 269982296 404973444 444841296 539964592 809946888 1619893776 1788632711 3577265422 5365898133 7154530844 10731796266 14309061688 21463592532 28618123376 42927185064 85854370128