Search a number
-
+
981700492864 = 267213213612
BaseRepresentation
bin11100100100100011110…
…10001011111001000000
310110211221101200010220111
432102101322023321000
5112041010311232424
62030553104321104
7130632311336200
oct16222172137100
93424841603814
10981700492864
11349378376383
1213a315613194
137175ccb0900
143572bd34400
151a809e4a194
hexe491e8be40

981700492864 has 189 divisors, whose sum is σ = 2455642456371. Its totient is φ = 388079677440.

The previous prime is 981700492837. The next prime is 981700492897. The reversal of 981700492864 is 468294007189.

The square root of 981700492864 is 990808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 457246440000 + 524454052864 = 676200^2 + 724192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 981700492799 and 981700492808.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 721307544 + ... + 721308904.

Almost surely, 2981700492864 is an apocalyptic number.

981700492864 is the 990808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981700492864

981700492864 is an abundant number, since it is smaller than the sum of its proper divisors (1473941963507).

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

981700492864 is an equidigital number, since it uses as much as digits as its factorization.

981700492864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 58.

The spelling of 981700492864 in words is "nine hundred eighty-one billion, seven hundred million, four hundred ninety-two thousand, eight hundred sixty-four".