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95313122128 = 2471954781883
BaseRepresentation
bin101100011000100011…
…0101101001101010000
3100010000112110021111101
41120301012231031100
53030200124402003
6111441454554144
76612643112350
oct1306106551520
9303015407441
1095313122128
1137470855414
1216580208954
138cac7c4623
1448827cab60
15272ca3511d
hex16311ad350

95313122128 has 80 divisors (see below), whose sum is σ = 222567262720. Its totient is φ = 38627342208.

The previous prime is 95313122123. The next prime is 95313122159. The reversal of 95313122128 is 82122131359.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95313122123) 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, 1123075 + ... + 1204957.

It is an arithmetic number, because the mean of its divisors is an integer number (2782090784).

Almost surely, 295313122128 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 95313122128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111283631360).

95313122128 is an abundant number, since it is smaller than the sum of its proper divisors (127254140592).

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

95313122128 is a wasteful number, since it uses less digits than its factorization.

95313122128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82464 (or 82458 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The spelling of 95313122128 in words is "ninety-five billion, three hundred thirteen million, one hundred twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 547 1064 1094 2128 2188 3829 4376 7658 8752 10393 15316 20786 30632 41572 61264 72751 81883 83144 145502 163766 166288 291004 327532 573181 582008 655064 1146362 1164016 1310128 1555777 2292724 3111554 4585448 6223108 9170896 10890439 12446216 21780878 24892432 43561756 44790001 87123512 89580002 174247024 179160004 313530007 358320008 627060014 716640016 851010019 1254120028 1702020038 2508240056 3404040076 5016480112 5957070133 6808080152 11914140266 13616160304 23828280532 47656561064 95313122128