Search a number
-
+
992890680720 = 243517298599769
BaseRepresentation
bin11100111001011001110…
…01010111010110010000
310111220211020222120211120
432130230321113112100
5112231420003240340
62040043325042240
7131506520351451
oct16345471272620
93456736876746
10992890680720
1135309a9a5114
121405190b6380
1372824438343
14360b0191128
151ac625564d0
hexe72ce57590

992890680720 has 320 divisors, whose sum is σ = 3375667872000. Its totient is φ = 240298426368.

The previous prime is 992890680659. The next prime is 992890680763. The reversal of 992890680720 is 27086098299.

It is a happy number.

It is a Cunningham number, because it is equal to 9964392-1.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 101631996 + ... + 101641764.

It is an arithmetic number, because the mean of its divisors is an integer number (10548962100).

Almost surely, 2992890680720 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 992890680720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687833936000).

992890680720 is an abundant number, since it is smaller than the sum of its proper divisors (2382777191280).

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

992890680720 is a wasteful number, since it uses less digits than its factorization.

992890680720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10690 (or 10684 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 992890680720 in words is "nine hundred ninety-two billion, eight hundred ninety million, six hundred eighty thousand, seven hundred twenty".