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85463364564 = 223223411014089
BaseRepresentation
bin100111110011000000…
…0110111001111010100
322011121002101202020200
41033212000313033110
52400012110131224
6103132240300500
76113601420114
oct1174600671724
9264532352220
1085463364564
1133276928806
1214691611730
13809cc8c506
1441ca5b7044
152352e535c9
hex13e60373d4

85463364564 has 36 divisors (see below), whose sum is σ = 216124888980. Its totient is φ = 28475591040.

The previous prime is 85463364551. The next prime is 85463364583. The reversal of 85463364564 is 46546336458.

85463364564 is a `hidden beast` number, since 8 + 5 + 46 + 3 + 36 + 4 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20383272900 + 65080091664 = 142770^2 + 255108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85463364564.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 422769 + ... + 591320.

Almost surely, 285463364564 is an apocalyptic number.

It is an amenable number.

85463364564 is an abundant number, since it is smaller than the sum of its proper divisors (130661524416).

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

85463364564 is a wasteful number, since it uses less digits than its factorization.

85463364564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016440 (or 1016435 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 85463364564 in words is "eighty-five billion, four hundred sixty-three million, three hundred sixty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2341 4682 7023 9364 14046 21069 28092 42138 84276 1014089 2028178 3042267 4056356 6084534 9126801 12169068 18253602 36507204 2373982349 4747964698 7121947047 9495929396 14243894094 21365841141 28487788188 42731682282 85463364564