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20712037054352 = 24729411481105019
BaseRepresentation
bin1001011010110011001011…
…00111000111011110010000
32201100001101110210121202112
410231121211213013132100
510203321222441214402
6112014551203204452
74235252405101220
oct455314547073620
981301343717675
1020712037054352
116665a1aa56836
1223a616b376728
13b731a148a337
1451867a068080
1525db7aa7ce52
hex12d6659c7790

20712037054352 has 160 divisors (see below), whose sum is σ = 48634274707200. Its totient is φ = 8355736166400.

The previous prime is 20712037054351. The next prime is 20712037054483. The reversal of 20712037054352 is 25345073021702.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (20712037054351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197169299 + ... + 197274317.

It is an arithmetic number, because the mean of its divisors is an integer number (303964216920).

Almost surely, 220712037054352 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 20712037054352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24317137353600).

20712037054352 is an abundant number, since it is smaller than the sum of its proper divisors (27922237652848).

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

20712037054352 is a wasteful number, since it uses less digits than its factorization.

20712037054352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106585 (or 106579 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 41.

The spelling of 20712037054352 in words is "twenty trillion, seven hundred twelve billion, thirty-seven million, fifty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 41 56 58 82 112 116 164 203 232 287 328 406 464 574 656 812 1148 1189 1481 1624 2296 2378 2962 3248 4592 4756 5924 8323 9512 10367 11848 16646 19024 20734 23696 33292 41468 42949 60721 66584 82936 85898 105019 121442 133168 165872 171796 210038 242884 300643 343592 420076 425047 485768 601286 687184 735133 840152 850094 971536 1202572 1470266 1680304 1700188 1760909 2405144 2940532 3045551 3400376 3521818 4305779 4810288 5881064 6091102 6800752 7043636 8611558 11762128 12182204 12326363 14087272 17223116 21318857 24364408 24652726 28174544 30140453 34446232 42637714 48728816 49305452 60280906 68892464 85275428 98610904 120561812 124867591 155533139 170550856 197221808 241123624 249735182 311066278 341101712 482247248 499470364 622132556 874073137 998940728 1088731973 1244265112 1748146274 1997881456 2177463946 2488530224 3496292548 4354927892 4510461031 6376858699 6992585096 8709855784 9020922062 12753717398 13985170192 17419711568 18041844124 25507434796 31573227217 36083688248 44638010893 51014869592 63146454434 72167376496 89276021786 102029739184 126292908868 178552043572 184928902271 252585817736 357104087144 369857804542 505171635472 714208174288 739715609084 1294502315897 1479431218168 2589004631794 2958862436336 5178009263588 10356018527176 20712037054352