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219696019712 = 2813223921247
BaseRepresentation
bin1100110010011011100…
…1110011100100000000
3210000001222211011011222
43030212321303210000
512044414140112322
6244532120054212
721605162233001
oct3144671634400
9700058734158
10219696019712
1185199748344
12366b3904368
1317942a34400
14a8c1c791a8
155aac696e42
hex3326e73900

219696019712 has 108 divisors (see below), whose sum is σ = 476871413760. Its totient is φ = 100969150464.

The previous prime is 219696019663. The next prime is 219696019747. The reversal of 219696019712 is 217910696912.

219696019712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10329473 + ... + 10350719.

Almost surely, 2219696019712 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 219696019712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238435706880).

219696019712 is an abundant number, since it is smaller than the sum of its proper divisors (257175394048).

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

219696019712 is a wasteful number, since it uses less digits than its factorization.

219696019712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21528 (or 21501 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 53.

The spelling of 219696019712 in words is "two hundred nineteen billion, six hundred ninety-six million, nineteen thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 239 256 338 416 478 676 832 956 1352 1664 1912 2704 3107 3328 3824 5408 6214 7648 10816 12428 15296 21247 21632 24856 30592 40391 42494 43264 49712 61184 80782 84988 99424 161564 169976 198848 276211 323128 339952 397696 552422 646256 679904 795392 1104844 1292512 1359808 2209688 2585024 2719616 3590743 4419376 5078033 5170048 5439232 7181486 8838752 10156066 10340096 14362972 17677504 20312132 28725944 35355008 40624264 57451888 66014429 70710016 81248528 114903776 132028858 162497056 229807552 264057716 324994112 459615104 528115432 649988224 858187577 919230208 1056230864 1299976448 1716375154 2112461728 3432750308 4224923456 6865500616 8449846912 13731001232 16899693824 27462002464 54924004928 109848009856 219696019712