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20904793374976 = 2872408232
BaseRepresentation
bin1001100000011010001101…
…10010001000000100000000
32202000110220222211021012121
410300031012302020010000
510220001004100444401
6112243310212134024
74255215160560400
oct460150662100400
982013828737177
1020904793374976
11672a744967455
1224175a5007314
13b8840cb64aa4
14523b240ba800
15263bad101ca1
hex130346c88100

20904793374976 has 81 divisors (see below), whose sum is σ = 48541839322431. Its totient is φ = 8958977696256.

The previous prime is 20904793374937. The next prime is 20904793374989. The reversal of 20904793374976 is 67947339740902.

The square root of 20904793374976 is 4572176.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 512063301 + ... + 512104123.

Almost surely, 220904793374976 is an apocalyptic number.

20904793374976 is the 4572176-th square number.

It is an amenable number.

20904793374976 is an abundant number, since it is smaller than the sum of its proper divisors (27637045947455).

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

20904793374976 is an frugal number, since it uses more digits than its factorization.

20904793374976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81676 (or 40832 counting only the distinct ones).

The product of its (nonzero) digits is 432081216, while the sum is 70.

It can be divided in two parts, 20904793 and 374976, that added together give a square (21279769 = 46132).

The spelling of 20904793374976 in words is "twenty trillion, nine hundred four billion, seven hundred ninety-three million, three hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 40823 81646 163292 285761 326584 571522 653168 1143044 1306336 2000327 2286088 2612672 4000654 4572176 5225344 8001308 9144352 10450688 16002616 18288704 32005232 36577408 64010464 73154816 128020928 256041856 512083712 1666517329 3333034658 6666069316 11665621303 13332138632 23331242606 26664277264 46662485212 53328554528 81659349121 93324970424 106657109056 163318698242 186649940848 213314218112 326637396484 373299881696 426628436224 653274792968 746599763392 1306549585936 1493199526784 2613099171872 2986399053568 5226198343744 10452396687488 20904793374976