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85337021872 = 24174323933049
BaseRepresentation
bin100111101111001111…
…0111001110110110000
322011021021122212122201
41033132132321312300
52344232234144442
6103111524312544
76110505501064
oct1173636716660
9264237585581
1085337021872
1133211584663
1214657242754
13807ca5461b
1441b78c9aa4
152346ce87b7
hex13de7b9db0

85337021872 has 80 divisors (see below), whose sum is σ = 179271338400. Its totient is φ = 39195426816.

The previous prime is 85337021863. The next prime is 85337021873. The reversal of 85337021872 is 27812073358.

It is not an unprimeable number, because it can be changed into a prime (85337021873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27987004 + ... + 27990052.

It is an arithmetic number, because the mean of its divisors is an integer number (2240891730).

Almost surely, 285337021872 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 85337021872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89635669200).

85337021872 is an abundant number, since it is smaller than the sum of its proper divisors (93934316528).

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

85337021872 is a wasteful number, since it uses less digits than its factorization.

85337021872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 5504 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 85337021872 in words is "eighty-five billion, three hundred thirty-seven million, twenty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 43 68 86 136 172 272 344 688 731 1462 2393 2924 3049 4786 5848 6098 9572 11696 12196 19144 24392 38288 40681 48784 51833 81362 102899 103666 131107 162724 205798 207332 262214 325448 411596 414664 524428 650896 823192 829328 1048856 1646384 1749283 2097712 2228819 3498566 4457638 6997132 7296257 8915276 13994264 14592514 17830552 27988528 29185028 35661104 58370056 116740112 124036369 248072738 313739051 496145476 627478102 992290952 1254956204 1984581904 2509912408 5019824816 5333563867 10667127734 21334255468 42668510936 85337021872