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20444363515452 = 22317241791820051
BaseRepresentation
bin1001010011000000100110…
…00001100110011000111100
32200101110110211210222001110
410221200103001212120330
510134430024024443302
6111252002210242020
74210025246415042
oct451402301463074
980343424728043
1020444363515452
116572451248198
122362307b86310
13b53b83a01c26
1450972632a392
15256c11394b6c
hex12981306663c

20444363515452 has 144 divisors (see below), whose sum is σ = 52567761093120. Its totient is φ = 6178268928000.

The previous prime is 20444363515441. The next prime is 20444363515487. The reversal of 20444363515452 is 25451536344402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10322827 + ... + 12142877.

It is an arithmetic number, because the mean of its divisors is an integer number (365053896480).

Almost surely, 220444363515452 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 20444363515452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26283880546560).

20444363515452 is an abundant number, since it is smaller than the sum of its proper divisors (32123397577668).

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

20444363515452 is a wasteful number, since it uses less digits than its factorization.

20444363515452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820212 (or 1820193 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 48.

Adding to 20444363515452 its reverse (25451536344402), we get a palindrome (45895899859854).

The spelling of 20444363515452 in words is "twenty trillion, four hundred forty-four billion, three hundred sixty-three million, five hundred fifteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 79 82 102 123 158 164 204 237 246 289 316 474 492 578 697 867 948 1156 1343 1394 1734 2091 2686 2788 3239 3468 4029 4182 5372 6478 8058 8364 9717 11849 12956 16116 19434 22831 23698 35547 38868 45662 47396 55063 68493 71094 91324 110126 136986 142188 165189 220252 273972 330378 660756 936071 1820051 1872142 2808213 3640102 3744284 5460153 5616426 7280204 10920306 11232852 21840612 30940867 61881734 74622091 92822601 123763468 143784029 149244182 185645202 223866273 287568058 298488364 371290404 431352087 447732546 525994739 575136116 862704174 895465092 1051989478 1268575547 1577984217 1725408348 2103978956 2444328493 2537151094 3155968434 3805726641 4888656986 5074302188 5895145189 6311936868 7332985479 7611453282 9777313972 11790290378 14665970958 15222906564 17685435567 21565784299 23580580756 29331941916 35370871134 41553584381 43131568598 64697352897 70741742268 83107168762 86263137196 100217468213 124660753143 129394705794 166214337524 200434936426 249321506286 258789411588 300652404639 400869872852 498643012572 601304809278 1202609618556 1703696959621 3407393919242 5111090878863 6814787838484 10222181757726 20444363515452