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4540545540 = 22325791492143
BaseRepresentation
bin1000011101010001…
…10011101000000100
3102201102211121112100
410032220303220010
533244334424130
62030315352100
7220343000046
oct41650635004
912642747470
104540545540
111a20024083
12a68752630
1357490174b
14311061a96
151b894bc60
hex10ea33a04

4540545540 has 144 divisors (see below), whose sum is σ = 14047488000. Its totient is φ = 1186907904.

The previous prime is 4540545523. The next prime is 4540545551. The reversal of 4540545540 is 455450454.

4540545540 is a `hidden beast` number, since 4 + 54 + 0 + 54 + 554 + 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 = 4540545495 and 4540545504.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2117709 + ... + 2119851.

It is an arithmetic number, because the mean of its divisors is an integer number (97552000).

Almost surely, 24540545540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4540545540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7023744000).

4540545540 is an abundant number, since it is smaller than the sum of its proper divisors (9506942460).

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

4540545540 is a wasteful number, since it uses less digits than its factorization.

4540545540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The square root of 4540545540 is about 67383.5702526959. The cubic root of 4540545540 is about 1655.9072665638.

Adding to 4540545540 its reverse (455450454), we get a palindrome (4995995994).

The spelling of 4540545540 in words is "four billion, five hundred forty million, five hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 149 158 180 237 298 316 395 447 474 596 711 745 790 894 948 1185 1341 1422 1490 1580 1788 2143 2235 2370 2682 2844 2980 3555 4286 4470 4740 5364 6429 6705 7110 8572 8940 10715 11771 12858 13410 14220 19287 21430 23542 25716 26820 32145 35313 38574 42860 47084 58855 64290 70626 77148 96435 105939 117710 128580 141252 169297 176565 192870 211878 235420 319307 338594 353130 385740 423756 507891 529695 638614 677188 706260 846485 957921 1015782 1059390 1277228 1523673 1596535 1692970 1915842 2031564 2118780 2539455 2873763 3047346 3193070 3385940 3831684 4789605 5078910 5747526 6094692 6386140 7618365 9579210 10157820 11495052 14368815 15236730 19158420 25225253 28737630 30473460 50450506 57475260 75675759 100901012 126126265 151351518 227027277 252252530 302703036 378378795 454054554 504505060 756757590 908109108 1135136385 1513515180 2270272770 4540545540