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6553700134641 = 32115910312178951
BaseRepresentation
bin101111101011110011011…
…1101111110111011110001
3212012112020122000202021100
41133113212331332323301
51324333434213302031
621534421150315013
71244326541001042
oct137274675767361
925175218022240
106553700134641
1120a7454964910
1289a198ab8a69
1338701b9ba56a
141892b4d1a8c9
15b5724201de6
hex5f5e6f7eef1

6553700134641 has 96 divisors (see below), whose sum is σ = 10613938083840. Its totient is φ = 3863100672000.

The previous prime is 6553700134549. The next prime is 6553700134661. The reversal of 6553700134641 is 1464310073556.

6553700134641 is a `hidden beast` number, since 6 + 553 + 7 + 0 + 0 + 1 + 34 + 64 + 1 = 666.

It is not a de Polignac number, because 6553700134641 - 29 = 6553700134129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6553700134661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 732170716 + ... + 732179666.

It is an arithmetic number, because the mean of its divisors is an integer number (110561855040).

Almost surely, 26553700134641 is an apocalyptic number.

It is an amenable number.

6553700134641 is a deficient number, since it is larger than the sum of its proper divisors (4060237949199).

6553700134641 is a wasteful number, since it uses less digits than its factorization.

6553700134641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10347 (or 10344 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 6553700134641 in words is "six trillion, five hundred fifty-three billion, seven hundred million, one hundred thirty-four thousand, six hundred forty-one".

Divisors: 1 3 9 11 33 59 99 103 177 309 531 649 927 1133 1217 1947 3399 3651 5841 6077 8951 10197 10953 13387 18231 26853 40161 54693 66847 71803 80559 98461 120483 125351 200541 215409 295383 376053 528109 601623 646227 789833 886149 921953 1128159 1378861 1584327 2369499 2765859 4136583 4752981 5809199 7108497 7395709 8297577 10141483 10893367 12409749 17427597 22187127 30424449 32680101 52282791 54395227 66561381 81352799 91273347 98040303 119827037 163185681 244058397 359481111 489557043 598347497 642708653 732175191 1078443333 1122016801 1795042491 1928125959 3366050403 5385127473 5784377877 7069795183 10098151209 12342184811 21209385549 37026554433 63628156647 66198991259 111079663299 198596973777 595790921331 728188903849 2184566711547 6553700134641