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988785000060 = 22351121314970313
BaseRepresentation
bin11100110001110000010…
…11011011111001111100
310111112020010102101202220
432120320023123321330
5112200012430000220
62034124102045340
7131303004553134
oct16307013337174
93445203371686
10988785000060
1135138339a500
1213b772119850
137231b9645c0
1435c00babac4
151aac1da8540
hexe6382dbe7c

988785000060 has 288 divisors, whose sum is σ = 3299301633600. Its totient is φ = 219778437120.

The previous prime is 988785000053. The next prime is 988785000097. The reversal of 988785000060 is 60000587889.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 988784999967 and 988785000012.

It is a congruent number.

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, 14027464 + ... + 14097776.

It is an arithmetic number, because the mean of its divisors is an integer number (11455908450).

Almost surely, 2988785000060 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 988785000060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649650816800).

988785000060 is an abundant number, since it is smaller than the sum of its proper divisors (2310516633540).

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

988785000060 is a wasteful number, since it uses less digits than its factorization.

988785000060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70509 (or 70496 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 988785000060 in words is "nine hundred eighty-eight billion, seven hundred eighty-five million, sixty", and thus it is an aban number.