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655125133641 = 311373314313761
BaseRepresentation
bin10011000100010001000…
…00000011100101001001
32022121222210111222202120
421202020200003211021
541213144013234031
61220543233121453
765221416520236
oct11421040034511
92277883458676
10655125133641
11232923071390
12a6b740b9289
1349a1645c594
14239cb52a78d
1512094635a96
hex9888803949

655125133641 has 64 divisors (see below), whose sum is σ = 984159424512. Its totient is φ = 384151680000.

The previous prime is 655125133633. The next prime is 655125133681. The reversal of 655125133641 is 146331521556.

It is a happy number.

It is not a de Polignac number, because 655125133641 - 23 = 655125133633 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 655125133593 and 655125133602.

It is not an unprimeable number, because it can be changed into a prime (655125133601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174187201 + ... + 174190961.

It is an arithmetic number, because the mean of its divisors is an integer number (15377491008).

Almost surely, 2655125133641 is an apocalyptic number.

It is an amenable number.

655125133641 is a deficient number, since it is larger than the sum of its proper divisors (329034290871).

655125133641 is a wasteful number, since it uses less digits than its factorization.

655125133641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574.

The product of its digits is 324000, while the sum is 42.

The spelling of 655125133641 in words is "six hundred fifty-five billion, one hundred twenty-five million, one hundred thirty-three thousand, six hundred forty-one".

Divisors: 1 3 11 33 37 111 331 407 431 993 1221 1293 3641 3761 4741 10923 11283 12247 14223 15947 36741 41371 47841 124113 134717 139157 142661 175417 404151 417471 427983 526251 1244891 1530727 1569271 1620991 3734673 4592181 4707813 4862973 5278457 13693801 15835371 17830901 41081403 46060967 53492703 58063027 59976667 138182901 174189081 179930001 506670637 536548021 659743337 1520011911 1609644063 1979230011 5902028231 17706084693 19852276777 59556830331 218375044547 655125133641