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546000005940 = 223567135820897
BaseRepresentation
bin1111111001000000010…
…00101110101100110100
31221012022200100010120020
413330200020232230310
532421202000142230
61054455015005140
754306250322004
oct7744010565464
91835280303506
10546000005940
111a0614850834
128999a3697b0
133c64529b9bc
141c5d8602004
15e309254810
hex7f2022eb34

546000005940 has 48 divisors (see below), whose sum is σ = 1551617938752. Its totient is φ = 143426866176.

The previous prime is 546000005917. The next prime is 546000006011. The reversal of 546000005940 is 49500000645.

It is a super-3 number, since 3×5460000059403 (a number of 36 digits) contains 333 as substring.

546000005940 is a modest number, since divided by 5940 gives 5460 as remainder.

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 15 ways as a sum of consecutive naturals, for example, 67906429 + ... + 67914468.

It is an arithmetic number, because the mean of its divisors is an integer number (32325373724).

Almost surely, 2546000005940 is an apocalyptic number.

It is an amenable number.

546000005940 is an abundant number, since it is smaller than the sum of its proper divisors (1005617932812).

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

546000005940 is a wasteful number, since it uses less digits than its factorization.

546000005940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135820976 (or 135820974 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 546000005940 in words is "five hundred forty-six billion, five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 135820897 271641794 407462691 543283588 679104485 814925382 1358208970 1629850764 2037313455 2716417940 4074626910 8149253820 9100000099 18200000198 27300000297 36400000396 45500000495 54600000594 91000000990 109200001188 136500001485 182000001980 273000002970 546000005940