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85223386952 = 231148532
BaseRepresentation
bin100111101011110110…
…1011010111101001000
322010222100211121211222
41033113231122331020
52344014141340302
6103052344541212
76104625556664
oct1172755327510
9263870747758
1085223386952
1133163420000
1214625181808
138062348922
1441a67898a4
15233bd4dda2
hex13d7b5af48

85223386952 has 60 divisors (see below), whose sum is σ = 175978449225. Its totient is φ = 38692489440.

The previous prime is 85223386931. The next prime is 85223386967. The reversal of 85223386952 is 25968332258.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 62493000196 + 22730386756 = 249986^2 + 150766^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=206426.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85223386894 and 85223386903.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 99909758 + ... + 99910610.

Almost surely, 285223386952 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 85223386952

85223386952 is an abundant number, since it is smaller than the sum of its proper divisors (90755062273).

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

85223386952 is an frugal number, since it uses more digits than its factorization.

85223386952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 866 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 53.

The spelling of 85223386952 in words is "eighty-five billion, two hundred twenty-three million, three hundred eighty-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 853 968 1331 1706 2662 3412 5324 6824 9383 10648 14641 18766 29282 37532 58564 75064 103213 117128 206426 412852 727609 825704 1135343 1455218 2270686 2910436 4541372 5820872 8003699 9082744 12488773 16007398 24977546 32014796 49955092 64029592 88040689 99910184 176081378 352162756 704325512 968447579 1936895158 3873790316 7747580632 10652923369 21305846738 42611693476 85223386952