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6538045140 = 22335111100681
BaseRepresentation
bin1100001011011001…
…01010011011010100
3121212122111002212000
412011230222123110
5101342214421030
63000432555300
7321006316044
oct60554523324
917778432760
106538045140
1128556130a0
1213256b2b30
138026b1983
14460469724
15283eb8860
hex185b2a6d4

6538045140 has 96 divisors (see below), whose sum is σ = 22189749120. Its totient is φ = 1584979200.

The previous prime is 6538045097. The next prime is 6538045169. The reversal of 6538045140 is 415408356.

It is a happy number.

6538045140 is a `hidden beast` number, since 65 + 3 + 80 + 4 + 514 + 0 = 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 = 6538045095 and 6538045104.

It is a congruent number.

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, 544401 + ... + 556280.

It is an arithmetic number, because the mean of its divisors is an integer number (231143220).

Almost surely, 26538045140 is an apocalyptic number.

6538045140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6538045140 is an abundant number, since it is smaller than the sum of its proper divisors (15651703980).

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

6538045140 is a wasteful number, since it uses less digits than its factorization.

6538045140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100710 (or 1100702 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 6538045140 is about 80858.1791781141. The cubic root of 6538045140 is about 1869.8896233478.

The spelling of 6538045140 in words is "six billion, five hundred thirty-eight million, forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 1100681 2201362 3302043 4402724 5503405 6604086 9906129 11006810 12107491 13208172 16510215 19812258 22013620 24214982 29718387 33020430 36322473 39624516 48429964 49530645 59436774 60537455 66040860 72644946 99061290 108967419 118873548 121074910 145289892 148591935 181612365 198122580 217934838 242149820 297183870 326902257 363224730 435869676 544837095 594367740 653804514 726449460 1089674190 1307609028 1634511285 2179348380 3269022570 6538045140