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20917752207456 = 2531353316245649
BaseRepresentation
bin1001100000110010010110…
…01100001001100001100000
32202001201101010011011110010
410300121023030021201200
510220204024031114311
6112253252133004520
74256154254045166
oct460311314114140
982051333134403
1020917752207456
116735194884065
12241a000a83740
13b896c68516c0
145245d31ab236
152641bab20da6
hex13064b309860

20917752207456 has 96 divisors (see below), whose sum is σ = 60248591272800. Its totient is φ = 6314793099264.

The previous prime is 20917752207421. The next prime is 20917752207481. The reversal of 20917752207456 is 65470225771902.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20917752207396 and 20917752207405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158056681 + ... + 158188968.

It is an arithmetic number, because the mean of its divisors is an integer number (627589492425).

Almost surely, 220917752207456 is an apocalyptic number.

20917752207456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20917752207456 is an abundant number, since it is smaller than the sum of its proper divisors (39330839065344).

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

20917752207456 is a wasteful number, since it uses less digits than its factorization.

20917752207456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316245728 (or 316245720 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 57.

The spelling of 20917752207456 in words is "twenty trillion, nine hundred seventeen billion, seven hundred fifty-two million, two hundred seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 78 96 104 106 156 159 208 212 312 318 416 424 624 636 689 848 1248 1272 1378 1696 2067 2544 2756 4134 5088 5512 8268 11024 16536 22048 33072 66144 316245649 632491298 948736947 1264982596 1897473894 2529965192 3794947788 4111193437 5059930384 7589895576 8222386874 10119860768 12333580311 15179791152 16444773748 16761019397 24667160622 30359582304 32889547496 33522038794 49334321244 50283058191 65779094992 67044077588 98668642488 100566116382 131558189984 134088155176 197337284976 201132232764 217893252161 268176310352 394674569952 402264465528 435786504322 536352620704 653679756483 804528931056 871573008644 1307359512966 1609057862112 1743146017288 2614719025932 3486292034576 5229438051864 6972584069152 10458876103728 20917752207456