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83227780046208 = 2737317367101281
BaseRepresentation
bin10010111011000111111010…
…010000111101110110000000
3101220200111110002110112211210
4102323013322100331312000
541402100443142434313
6453002151521010120
723350002655614000
oct2273077220756600
9356614402415753
1083227780046208
1124578781101996
129402127183940
133759466179645
14167a363224000
15994e2b3bb9c3
hex4bb1fa43dd80

83227780046208 has 512 divisors, whose sum is σ = 273723922944000. Its totient is φ = 22319376629760.

The previous prime is 83227780046183. The next prime is 83227780046239. The reversal of 83227780046208 is 80264008772238.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 821700528 + ... + 821801808.

It is an arithmetic number, because the mean of its divisors is an integer number (534617037000).

Almost surely, 283227780046208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83227780046208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136861961472000).

83227780046208 is an abundant number, since it is smaller than the sum of its proper divisors (190496142897792).

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

83227780046208 is a wasteful number, since it uses less digits than its factorization.

83227780046208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101703 (or 101677 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 57.

The spelling of 83227780046208 in words is "eighty-three trillion, two hundred twenty-seven billion, seven hundred eighty million, forty-six thousand, two hundred eight".