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989770503168 = 21034171933637
BaseRepresentation
bin11100110011100101110…
…10110101010000000000
310111121202210211010220000
432121302322311100000
5112204022222100133
62034405544520000
7131336302315056
oct16316272652000
93447683733800
10989770503168
11351839711587
1213b9a8180000
1372447b97135
1435c95a241d6
151ab2d674413
hexe672eb5400

989770503168 has 440 divisors, whose sum is σ = 3146589888552. Its totient is φ = 308822409216.

The previous prime is 989770503167. The next prime is 989770503193. The reversal of 989770503168 is 861305077989.

It can be written as a sum of positive squares in 4 ways, for example, as 8814956544 + 980955546624 = 93888^2 + 990432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989770503167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 272137446 + ... + 272141082.

Almost surely, 2989770503168 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 989770503168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573294944276).

989770503168 is an abundant number, since it is smaller than the sum of its proper divisors (2156819385384).

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

989770503168 is a wasteful number, since it uses less digits than its factorization.

989770503168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 989770503168 in words is "nine hundred eighty-nine billion, seven hundred seventy million, five hundred three thousand, one hundred sixty-eight".