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209774992144 = 2467217092
BaseRepresentation
bin1100001101011110010…
…0000101101100010000
3202001110120122201212111
43003113210011230100
511414104344222034
6240211434035104
721104264004244
oct3032744055420
9661416581774
10209774992144
1180a68572503
12347a5278a94
1316a215076b3
14a2203d2424
1556cb6d8364
hex30d7905b10

209774992144 has 45 divisors (see below), whose sum is σ = 412837409397. Its totient is φ = 103261553472.

The previous prime is 209774992139. The next prime is 209774992169. The reversal of 209774992144 is 441299477902.

The square root of 209774992144 is 458012.

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., 39437193744 + 170337798400 = 198588^2 + 412720^2 .

It is a Duffinian number.

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, 122746362 + ... + 122748070.

Almost surely, 2209774992144 is an apocalyptic number.

209774992144 is the 458012-nd square number.

It is an amenable number.

209774992144 is a deficient number, since it is larger than the sum of its proper divisors (203062417253).

209774992144 is an frugal number, since it uses more digits than its factorization.

209774992144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 58.

It can be divided in two parts, 20977 and 4992144, that added together give a square (5013121 = 22392).

The spelling of 209774992144 in words is "two hundred nine billion, seven hundred seventy-four million, nine hundred ninety-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 67 134 268 536 1072 1709 3418 4489 6836 8978 13672 17956 27344 35912 71824 114503 229006 458012 916024 1832048 2920681 5841362 7671701 11682724 15343402 23365448 30686804 46730896 61373608 122747216 195685627 391371254 782742508 1565485016 3130970032 13110937009 26221874018 52443748036 104887496072 209774992144