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161783930880 = 2133451121331
BaseRepresentation
bin1001011010101100010…
…0101110000000000000
3120110121000000020010000
42112223010232000000
510122313141242010
6202153355040000
714455104502605
oct2265304560000
9513530006100
10161783930880
11626808a1900
1227431140000
1312343a21820
147b8a8066ac
15431d3be7c0
hex25ab12e000

161783930880 has 1680 divisors, whose sum is σ = 708695551872. Its totient is φ = 35035545600.

The previous prime is 161783930879. The next prime is 161783930887. The reversal of 161783930880 is 88039387161.

161783930880 is a `hidden beast` number, since 1 + 6 + 178 + 393 + 0 + 8 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161783930887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5218836465 + ... + 5218836495.

Almost surely, 2161783930880 is an apocalyptic number.

161783930880 is a gapful number since it is divisible by the number (10) 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 161783930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354347775936).

161783930880 is an abundant number, since it is smaller than the sum of its proper divisors (546911620992).

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

161783930880 is a wasteful number, since it uses less digits than its factorization.

161783930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 161783930880 in words is "one hundred sixty-one billion, seven hundred eighty-three million, nine hundred thirty thousand, eight hundred eighty".