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850384495474080 = 253572269439306169
BaseRepresentation
bin1100000101011010111001000…
…1110001100111010110100000
311010111221222000121202100021120
43001112232101301213112200
51342430144421320132310
612212341124415452240
7344056152355033500
oct30126562161472640
94114858017670246
10850384495474080
11226a60048242996
127b462266b27080
132a666bb59028c8
1410ddcb87425a00
15684a6bb541b70
hex3056b91c675a0

850384495474080 has 576 divisors, whose sum is σ = 3134770287264000. Its totient is φ = 193209270976512.

The previous prime is 850384495474043. The next prime is 850384495474103. The reversal of 850384495474080 is 80474594483058.

It is a junction number, because it is equal to n+sod(n) for n = 850384495473996 and 850384495474014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2777347236 + ... + 2777653404.

It is an arithmetic number, because the mean of its divisors is an integer number (5442309526500).

Almost surely, 2850384495474080 is an apocalyptic number.

850384495474080 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 850384495474080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567385143632000).

850384495474080 is an abundant number, since it is smaller than the sum of its proper divisors (2284385791789920).

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

850384495474080 is a wasteful number, since it uses less digits than its factorization.

850384495474080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306909 (or 306894 counting only the distinct ones).

The product of its (nonzero) digits is 619315200, while the sum is 69.

The spelling of 850384495474080 in words is "eight hundred fifty trillion, three hundred eighty-four billion, four hundred ninety-five million, four hundred seventy-four thousand, eighty".