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85210366000 = 245371600073
BaseRepresentation
bin100111101011011101…
…1110000000000110000
322010221110100002110111
41033112323300000300
52344002323203000
6103051201511104
76104410106014
oct1172673600060
9263843302414
1085210366000
1133157037191
1214620942494
13805c73a016
1441a4b5a544
15233ab2acba
hex13d6ef0030

85210366000 has 80 divisors (see below), whose sum is σ = 208940966208. Its totient is φ = 33604032000.

The previous prime is 85210365997. The next prime is 85210366001. The reversal of 85210366000 is 66301258.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (85210366001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 158037 + ... + 442036.

Almost surely, 285210366000 is an apocalyptic number.

85210366000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85210366000 is an abundant number, since it is smaller than the sum of its proper divisors (123730600208).

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

85210366000 is a wasteful number, since it uses less digits than its factorization.

85210366000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600167 (or 600151 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 85210366000 its reverse (66301258), we get a palindrome (85276667258).

The spelling of 85210366000 in words is "eighty-five billion, two hundred ten million, three hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 355 400 500 568 710 1000 1136 1420 1775 2000 2840 3550 5680 7100 8875 14200 17750 28400 35500 71000 142000 600073 1200146 2400292 3000365 4800584 6000730 9601168 12001460 15001825 24002920 30003650 42605183 48005840 60007300 75009125 85210366 120014600 150018250 170420732 213025915 240029200 300036500 340841464 426051830 600073000 681682928 852103660 1065129575 1200146000 1704207320 2130259150 3408414640 4260518300 5325647875 8521036600 10651295750 17042073200 21302591500 42605183000 85210366000