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2085773976 = 233611134161
BaseRepresentation
bin111110001010010…
…0110001010011000
312101100202022000000
41330110212022120
513232424231401
6542545213000
7102454533456
oct17424461230
95340668000
102085773976
11980401950
124a2631160
132731798b0
1415b0259d6
15c31a7186
hex7c526298

2085773976 has 448 divisors, whose sum is σ = 7172353440. Its totient is φ = 559872000.

The previous prime is 2085773957. The next prime is 2085773983. The reversal of 2085773976 is 6793775802.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 34192986 + ... + 34193046.

Almost surely, 22085773976 is an apocalyptic number.

2085773976 is a gapful number since it is divisible by the number (26) 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 2085773976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586176720).

2085773976 is an abundant number, since it is smaller than the sum of its proper divisors (5086579464).

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

2085773976 is a wasteful number, since it uses less digits than its factorization.

2085773976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 2085773976 is about 45670.2745338803. The cubic root of 2085773976 is about 1277.6809360210.

The spelling of 2085773976 in words is "two billion, eighty-five million, seven hundred seventy-three thousand, nine hundred seventy-six".