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5681325186560 = 29515111468741
BaseRepresentation
bin101001010101100100101…
…0111101001111000000000
3202010010111022122201010002
41102223021113221320000
51221040323221432220
620025544215455132
71124314351202342
oct122531127517000
922103438581102
105681325186560
1118a0488a57441
127790b43874a8
1332299256c62a
14158d987a1292
159cbb7075c75
hex52ac95e9e00

5681325186560 has 80 divisors (see below), whose sum is σ = 13630889254752. Its totient is φ = 2271024537600.

The previous prime is 5681325186547. The next prime is 5681325186619. The reversal of 5681325186560 is 656815231865.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×56813251865603 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5681325186496 and 5681325186505.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3133790 + ... + 4602530.

Almost surely, 25681325186560 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 5681325186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815444627376).

5681325186560 is an abundant number, since it is smaller than the sum of its proper divisors (7949564068192).

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

5681325186560 is a wasteful number, since it uses less digits than its factorization.

5681325186560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470275 (or 1470259 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 56.

The spelling of 5681325186560 in words is "five trillion, six hundred eighty-one billion, three hundred twenty-five million, one hundred eighty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 1511 2560 3022 6044 7555 12088 15110 24176 30220 48352 60440 96704 120880 193408 241760 386816 483520 773632 967040 1468741 1934080 2937482 3868160 5874964 7343705 11749928 14687410 23499856 29374820 46999712 58749640 93999424 117499280 187998848 234998560 375997696 469997120 751995392 939994240 1879988480 2219267651 3759976960 4438535302 8877070604 11096338255 17754141208 22192676510 35508282416 44385353020 71016564832 88770706040 142033129664 177541412080 284066259328 355082824160 568132518656 710165648320 1136265037312 1420331296640 2840662593280 5681325186560