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85168548352 = 29733226937
BaseRepresentation
bin100111101010001110…
…0001110101000000000
322010211112122112102201
41033110130032220000
52343411122021402
6103043105322544
76103361500456
oct1172434165000
9263745575381
1085168548352
1133135474a48
121460a936454
138053b88054
14419d3929d6
15233711a687
hex13d470ea00

85168548352 has 40 divisors (see below), whose sum is σ = 170403659316. Its totient is φ = 42525990912.

The previous prime is 85168548343. The next prime is 85168548359. The reversal of 85168548352 is 25384586158.

It can be written as a sum of positive squares in 2 ways, for example, as 52195799296 + 32972749056 = 228464^2 + 181584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85168548293 and 85168548302.

It is not an unprimeable number, because it can be changed into a prime (85168548359) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 261828 + ... + 488764.

Almost surely, 285168548352 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 85168548352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85201829658).

85168548352 is an abundant number, since it is smaller than the sum of its proper divisors (85235110964).

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

85168548352 is an equidigital number, since it uses as much as digits as its factorization.

85168548352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227688 (or 227672 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 55.

The spelling of 85168548352 in words is "eighty-five billion, one hundred sixty-eight million, five hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 733 1466 2932 5864 11728 23456 46912 93824 187648 226937 375296 453874 907748 1815496 3630992 7261984 14523968 29047936 58095872 116191744 166344821 332689642 665379284 1330758568 2661517136 5323034272 10646068544 21292137088 42584274176 85168548352