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20976308224 = 212312732
BaseRepresentation
bin10011100010010010…
…010001000000000000
32000010212121212100121
4103202102101000000
5320424413330344
613345243030024
71341545451364
oct234222210000
960125555317
1020976308224
118994640923
124094b0b314
131c93a3b201
14102dc272a4
1582b81c684
hex4e2491000

20976308224 has 117 divisors (see below), whose sum is σ = 43946181189. Its totient is φ = 10010787840.

The previous prime is 20976308201. The next prime is 20976308251. The reversal of 20976308224 is 42280367902.

The square root of 20976308224 is 144832.

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., 11907174400 + 9069133824 = 109120^2 + 95232^2 .

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, 287346652 + ... + 287346724.

Almost surely, 220976308224 is an apocalyptic number.

20976308224 is the 144832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20976308224

20976308224 is an abundant number, since it is smaller than the sum of its proper divisors (22969872965).

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

20976308224 is an frugal number, since it uses more digits than its factorization.

20976308224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 20976308224 in words is "twenty billion, nine hundred seventy-six million, three hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 73 124 128 146 248 256 292 496 512 584 961 992 1024 1168 1922 1984 2048 2263 2336 3844 3968 4096 4526 4672 5329 7688 7936 9052 9344 10658 15376 15872 18104 18688 21316 30752 31744 36208 37376 42632 61504 63488 70153 72416 74752 85264 123008 126976 140306 144832 149504 165199 170528 246016 280612 289664 299008 330398 341056 492032 561224 579328 660796 682112 984064 1122448 1158656 1321592 1364224 1968128 2244896 2317312 2643184 2728448 3936256 4489792 4634624 5121169 5286368 5456896 8979584 9269248 10242338 10572736 10913792 17959168 20484676 21145472 21827584 35918336 40969352 42290944 71836672 81938704 84581888 143673344 163877408 169163776 287346688 327754816 338327552 655509632 676655104 1311019264 2622038528 5244077056 10488154112 20976308224