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85490158720 = 275133578373
BaseRepresentation
bin100111110011110011…
…1000100110010000000
322011122221211000220211
41033213213010302000
52400040440034340
6103135034443504
76114345234151
oct1174747046200
9264587730824
1085490158720
113328aa6963a
121469a593594
1380a56b1245
1441cdd8d928
1523554975ea
hex13e79c4c80

85490158720 has 32 divisors (see below), whose sum is σ = 204374912220. Its totient is φ = 34196063232.

The previous prime is 85490158687. The next prime is 85490158777. The reversal of 85490158720 is 2785109458.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 79691031616 + 5799127104 = 282296^2 + 76152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66788547 + ... + 66789826.

Almost surely, 285490158720 is an apocalyptic number.

85490158720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85490158720 is an abundant number, since it is smaller than the sum of its proper divisors (118884753500).

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

85490158720 is a wasteful number, since it uses less digits than its factorization.

85490158720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133578392 (or 133578380 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 49.

The spelling of 85490158720 in words is "eighty-five billion, four hundred ninety million, one hundred fifty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 133578373 267156746 534313492 667891865 1068626984 1335783730 2137253968 2671567460 4274507936 5343134920 8549015872 10686269840 17098031744 21372539680 42745079360 85490158720