Search a number
-
+
983770389904 = 24232107812
BaseRepresentation
bin11100101000011010100…
…10001101110110010000
310111001021122112210211211
432110031102031312100
5112104230204434104
62031534325345504
7131034514225351
oct16241522156620
93431248483754
10983770389904
1134a23a813695
1213a7b2868294
13719cca8b963
1435886bc5d28
151a8cba17e04
hexe50d48dd90

983770389904 has 45 divisors (see below), whose sum is σ = 1992715057249. Its totient is φ = 470455240640.

The previous prime is 983770389887. The next prime is 983770389919. The reversal of 983770389904 is 409983077389.

The square root of 983770389904 is 991852.

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

It can be written as a sum of positive squares in only one way, i.e., 282866549904 + 700903840000 = 531852^2 + 837200^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 983770389904.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 91244994 + ... + 91255774.

Almost surely, 2983770389904 is an apocalyptic number.

983770389904 is the 991852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 983770389904

983770389904 is an abundant number, since it is smaller than the sum of its proper divisors (1008944667345).

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

983770389904 is an frugal number, since it uses more digits than its factorization.

983770389904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21616 (or 10806 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 67.

The spelling of 983770389904 in words is "nine hundred eighty-three billion, seven hundred seventy million, three hundred eighty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 8464 10781 21562 43124 86248 172496 247963 495926 991852 1983704 3967408 5703149 11406298 22812596 45625192 91250384 116229961 232459922 464919844 929839688 1859679376 2673289103 5346578206 10693156412 21386312824 42772625648 61485649369 122971298738 245942597476 491885194952 983770389904