Search a number
-
+
55732686806544 = 24311577231179159
BaseRepresentation
bin11001010110000010001101…
…11111111101111000010000
321022022222210202202121100120
430223001012333331320100
524301111020310302134
6314311124242550240
714511360635322006
oct1453010677757020
9238288722677316
1055732686806544
1116838110832850
126301450068380
132513753b63707
14da969549aa76
15669b05d8d649
hex32b046ffde10

55732686806544 has 160 divisors (see below), whose sum is σ = 157407124346880. Its totient is φ = 16851914956800.

The previous prime is 55732686806521. The next prime is 55732686806569. The reversal of 55732686806544 is 44560868623755.

It is a super-2 number, since 2×557326868065442 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704020437 + ... + 704099595.

It is an arithmetic number, because the mean of its divisors is an integer number (983794527168).

Almost surely, 255732686806544 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 55732686806544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78703562173440).

55732686806544 is an abundant number, since it is smaller than the sum of its proper divisors (101674437540336).

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

55732686806544 is a wasteful number, since it uses less digits than its factorization.

55732686806544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82069 (or 82063 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 69.

The spelling of 55732686806544 in words is "fifty-five trillion, seven hundred thirty-two billion, six hundred eighty-six million, eight hundred six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 577 1154 1731 2308 2311 3462 4616 4622 6347 6924 6933 9232 9244 12694 13848 13866 18488 19041 25388 25421 27696 27732 36976 38082 50776 50842 55464 76164 76263 79159 101552 101684 110928 152328 152526 158318 203368 237477 304656 305052 316636 406736 474954 610104 633272 870749 949908 1220208 1266544 1333447 1741498 1899816 2612247 2666894 3482996 3799632 4000341 5224494 5333788 6965992 8000682 10448988 10667576 13931984 14667917 16001364 20897976 21335152 29335834 32002728 41795952 44003751 45674743 58671668 64005456 88007502 91349486 117343336 137024229 176015004 182698972 182936449 234686672 274048458 352030008 365397944 365872898 502422173 548096916 548809347 704060016 730795888 731745796 1004844346 1096193832 1097618694 1463491592 1507266519 2009688692 2012300939 2192387664 2195237388 2926983184 3014533038 4019377384 4024601878 4390474776 6029066076 6036902817 8038754768 8049203756 8780949552 12058132152 12073805634 16098407512 24116264304 24147611268 32196815024 48295222536 96590445072 105554331073 211108662146 316662993219 422217324292 633325986438 844434648584 1161097641803 1266651972876 1688869297168 2322195283606 2533303945752 3483292925409 4644390567212 5066607891504 6966585850818 9288781134424 13933171701636 18577562268848 27866343403272 55732686806544