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21052174711296 = 29371247777933
BaseRepresentation
bin1001100100101100101110…
…11001010011101000000000
32202112120100020210212211110
410302112113121103220000
510224404323211230141
6112435122513443320
74301653341345561
oct462262731235000
982476306725743
1021052174711296
1167871a4882843
122440076870540
13b99299a381c1
1452ad05b6c168
15267936d65e16
hex132597653a00

21052174711296 has 160 divisors (see below), whose sum is σ = 56897920050048. Its totient is φ = 6915673210880.

The previous prime is 21052174711259. The next prime is 21052174711303. The reversal of 21052174711296 is 69211747125012.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270092746 + ... + 270170678.

Almost surely, 221052174711296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21052174711296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28448960025024).

21052174711296 is an abundant number, since it is smaller than the sum of its proper divisors (35845745338752).

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

21052174711296 is an equidigital number, since it uses as much as digits as its factorization.

21052174711296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80502 (or 80486 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 21052174711296 in words is "twenty-one trillion, fifty-two billion, one hundred seventy-four million, seven hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1136 1536 1704 2272 2477 3408 4544 4954 6816 7431 9088 9908 13632 14862 18176 19816 27264 29724 36352 39632 54528 59448 77933 79264 109056 118896 155866 158528 175867 233799 237792 311732 317056 351734 467598 475584 527601 623464 634112 703468 935196 951168 1055202 1246928 1268224 1406936 1870392 1902336 2110404 2493856 2813872 3740784 3804672 4220808 4987712 5533243 5627744 7481568 8441616 9975424 11066486 11255488 14963136 16599729 16883232 19950848 22132972 22510976 29926272 33199458 33766464 39901696 44265944 45021952 59852544 66398916 67532928 88531888 90043904 119705088 132797832 135065856 177063776 193040041 265595664 270131712 354127552 386080082 531191328 579120123 708255104 772160164 1062382656 1158240246 1416510208 1544320328 2124765312 2316480492 2833020416 3088640656 4249530624 4632960984 6177281312 8499061248 9265921968 12354562624 13705842911 18531843936 24709125248 27411685822 37063687872 41117528733 49418250496 54823371644 74127375744 82235057466 98836500992 109646743288 148254751488 164470114932 219293486576 296509502976 328940229864 438586973152 657880459728 877173946304 1315760919456 1754347892608 2631521838912 3508695785216 5263043677824 7017391570432 10526087355648 21052174711296