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545503135140 = 2233510110001891
BaseRepresentation
bin1111111000000101000…
…01010100010110100100
31221011001001101110222000
413330002201110112210
532414142300311030
61054333425205300
754261035100045
oct7740241242644
91834031343860
10545503135140
111a038a331407
128987ba90830
133c596371002
141c58c6228cc
15e2ca808860
hex7f028545a4

545503135140 has 96 divisors (see below), whose sum is σ = 1713924213120. Its totient is φ = 144027216000.

The previous prime is 545503135097. The next prime is 545503135147. The reversal of 545503135140 is 41531305545.

545503135140 is a `hidden beast` number, since 5 + 4 + 5 + 503 + 1 + 3 + 5 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 545503135095 and 545503135104.

It is not an unprimeable number, because it can be changed into a prime (545503135147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4946406 + ... + 5055485.

It is an arithmetic number, because the mean of its divisors is an integer number (17853377220).

Almost surely, 2545503135140 is an apocalyptic number.

It is an amenable number.

545503135140 is an abundant number, since it is smaller than the sum of its proper divisors (1168421077980).

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

545503135140 is a wasteful number, since it uses less digits than its factorization.

545503135140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002010 (or 10002002 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 545503135140 in words is "five hundred forty-five billion, five hundred three million, one hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 404 505 540 606 909 1010 1212 1515 1818 2020 2727 3030 3636 4545 5454 6060 9090 10908 13635 18180 27270 54540 10001891 20003782 30005673 40007564 50009455 60011346 90017019 100018910 120022692 150028365 180034038 200037820 270051057 300056730 360068076 450085095 540102114 600113460 900170190 1010190991 1080204228 1350255285 1800340380 2020381982 2700510570 3030572973 4040763964 5050954955 5401021140 6061145946 9091718919 10101909910 12122291892 15152864865 18183437838 20203819820 27275156757 30305729730 36366875676 45458594595 54550313514 60611459460 90917189190 109100627028 136375783785 181834378380 272751567570 545503135140