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85867802231376 = 2431123671009104593
BaseRepresentation
bin10011100001100010100111…
…110110011000001001010000
3102021000212210202222010010110
4103201202213312120021100
542223324224332401001
6502343042422401320
724041513121130464
oct2341424766301120
9367025722863113
1085867802231376
11253a636a877360
129769909290240
1338bb3b6bba689
14172c04945c4a4
159dd942b323d6
hex4e18a7d98250

85867802231376 has 320 divisors, whose sum is σ = 256537720535040. Its totient is φ = 24493203947520.

The previous prime is 85867802231371. The next prime is 85867802231429. The reversal of 85867802231376 is 67313220876858.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85867802231371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 820918536 + ... + 821023128.

It is an arithmetic number, because the mean of its divisors is an integer number (801680376672).

Almost surely, 285867802231376 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 85867802231376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128268860267520).

85867802231376 is an abundant number, since it is smaller than the sum of its proper divisors (170669918303664).

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

85867802231376 is a wasteful number, since it uses less digits than its factorization.

85867802231376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105714 (or 105708 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 85867802231376 in words is "eighty-five trillion, eight hundred sixty-seven billion, eight hundred two million, two hundred thirty-one thousand, three hundred seventy-six".