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85780240008 = 23336712377873
BaseRepresentation
bin100111111100011100…
…1101001011010001000
322012102011122200122020
41033320321221122020
52401134220140013
6103223520124440
76124500003201
oct1177071513210
9265364580566
1085780240008
1133419788a41
121475b766720
138120818488
14421a7005a8
152370b97623
hex13f8e69688

85780240008 has 64 divisors (see below), whose sum is σ = 215236104960. Its totient is φ = 28488830976.

The previous prime is 85780240001. The next prime is 85780240061. The reversal of 85780240008 is 80004208758.

It is not an unprimeable number, because it can be changed into a prime (85780240001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10891560 + ... + 10899432.

It is an arithmetic number, because the mean of its divisors is an integer number (3363064140).

Almost surely, 285780240008 is an apocalyptic number.

It is an amenable number.

85780240008 is an abundant number, since it is smaller than the sum of its proper divisors (129455864952).

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

85780240008 is a wasteful number, since it uses less digits than its factorization.

85780240008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9486 (or 9482 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 85780240008 in words is "eighty-five billion, seven hundred eighty million, two hundred forty thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 367 734 1101 1237 1468 2202 2474 2936 3711 4404 4948 7422 7873 8808 9896 14844 15746 23619 29688 31492 47238 62984 94476 188952 453979 907958 1361937 1815916 2723874 2889391 3631832 5447748 5778782 8668173 9738901 10895496 11557564 17336346 19477802 23115128 29216703 34672692 38955604 58433406 69345384 77911208 116866812 233733624 3574176667 7148353334 10722530001 14296706668 21445060002 28593413336 42890120004 85780240008