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85210280464 = 24729772
BaseRepresentation
bin100111101011011101…
…1011011001000010000
322010221110011202010111
41033112323123020100
52344002312433324
6103051200011104
76104406301441
oct1172673331020
9263843152114
1085210280464
1133156a889a1
1214620900a94
13805c70a0ca
1441a4b372c8
15233ab10794
hex13d6edb210

85210280464 has 15 divisors (see below), whose sum is σ = 165097180717. Its totient is φ = 42604556416.

The previous prime is 85210280459. The next prime is 85210280483. The reversal of 85210280464 is 46408201258.

It is a happy number.

The square root of 85210280464 is 291908.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11990250000 + 73220030464 = 109500^2 + 270592^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1131144 + ... + 1204120.

Almost surely, 285210280464 is an apocalyptic number.

85210280464 is the 291908-th square number.

It is an amenable number.

85210280464 is a deficient number, since it is larger than the sum of its proper divisors (79886900253).

85210280464 is an frugal number, since it uses more digits than its factorization.

85210280464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145962 (or 72979 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 85210280464 in words is "eighty-five billion, two hundred ten million, two hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 72977 145954 291908 583816 1167632 5325642529 10651285058 21302570116 42605140232 85210280464