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850227840000 = 210355471171
BaseRepresentation
bin11000101111101011000…
…01110100010000000000
310000021120211200101100000
430113311201310100000
5102412231311340000
61450331141200000
7115266303253230
oct14276541642000
93007524611300
10850227840000
112a86414a5370
12118943700000
1362239ca0466
142d219043cc0
15171b2b90000
hexc5f5874400

850227840000 has 2640 divisors, whose sum is σ = 4022295653376. Its totient is φ = 174182400000.

The previous prime is 850227839963. The next prime is 850227840029. The reversal of 850227840000 is 48722058.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a super-2 number, since 2×8502278400002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11975039965 + ... + 11975040035.

Almost surely, 2850227840000 is an apocalyptic number.

850227840000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850227840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011147826688).

850227840000 is an abundant number, since it is smaller than the sum of its proper divisors (3172067813376).

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

850227840000 is an equidigital number, since it uses as much as digits as its factorization.

850227840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 850227840000 in words is "eight hundred fifty billion, two hundred twenty-seven million, eight hundred forty thousand".