Search a number
-
+
997209948816 = 2434277392
BaseRepresentation
bin11101000001011100101…
…10000100001010010000
310112022222021110010210000
432200232112010022100
5112314241221330231
62042040102010000
7132021535465014
oct16405626041220
93468867403700
10997209948816
11354a07023174
12141323716900
1373062242a93
143639da92544
151ae168446e6
hexe82e584290

997209948816 has 75 divisors (see below), whose sum is σ = 2886318958611. Its totient is φ = 332391333024.

The previous prime is 997209948751. The next prime is 997209948821. The reversal of 997209948816 is 618849902799.

The square root of 997209948816 is 998604.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 35935875 + ... + 35963613.

Almost surely, 2997209948816 is an apocalyptic number.

997209948816 is the 998604-th square number.

It is an amenable number.

997209948816 is an abundant number, since it is smaller than the sum of its proper divisors (1889109009795).

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

997209948816 is an frugal number, since it uses more digits than its factorization.

997209948816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55498 (or 27744 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

It can be divided in two parts, 997209 and 948816, that added together give a square (1946025 = 13952).

The spelling of 997209948816 in words is "nine hundred ninety-seven billion, two hundred nine million, nine hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 27739 55478 83217 110956 166434 221912 249651 332868 443824 499302 665736 748953 998604 1331472 1497906 1997208 2246859 2995812 3994416 4493718 5991624 8987436 11983248 17974872 35949744 769452121 1538904242 2308356363 3077808484 4616712726 6155616968 6925069089 9233425452 12311233936 13850138178 18466850904 20775207267 27700276356 36933701808 41550414534 55400552712 62325621801 83100829068 110801105424 124651243602 166201658136 249302487204 332403316272 498604974408 997209948816