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6540540026220 = 22325374973197479
BaseRepresentation
bin101111100101101011010…
…0100001001110101101100
3212011021021110221222100100
41133023112210021311230
51324130011221314340
621524403235431100
71243352451633024
oct137132644116554
925137243858310
106540540026220
1120a1911373652
12897725755490
13385a023ba965
141887c71d4a84
15b5203bc5830
hex5f2d6909d6c

6540540026220 has 144 divisors (see below), whose sum is σ = 20380045008960. Its totient is φ = 1696655144448.

The previous prime is 6540540026171. The next prime is 6540540026311. The reversal of 6540540026220 is 226200450456.

6540540026220 is a `hidden beast` number, since 6 + 5 + 4 + 0 + 5 + 400 + 26 + 220 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33021441 + ... + 33218919.

It is an arithmetic number, because the mean of its divisors is an integer number (141528090340).

Almost surely, 26540540026220 is an apocalyptic number.

6540540026220 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6540540026220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10190022504480).

6540540026220 is an abundant number, since it is smaller than the sum of its proper divisors (13839504982740).

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

6540540026220 is a wasteful number, since it uses less digits than its factorization.

6540540026220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202504 (or 202499 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 6540540026220 its reverse (226200450456), we get a palindrome (6766740476676).

The spelling of 6540540026220 in words is "six trillion, five hundred forty billion, five hundred forty million, twenty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 4973 6660 9946 14919 19892 24865 29838 44757 49730 59676 74595 89514 99460 149190 179028 184001 197479 223785 298380 368002 394958 447570 552003 592437 736004 789916 895140 920005 987395 1104006 1184874 1656009 1777311 1840010 1974790 2208012 2369748 2760015 2962185 3312018 3554622 3680020 3949580 5520030 5924370 6624036 7109244 7306723 8280045 8886555 11040060 11848740 14613446 16560090 17773110 21920169 29226892 33120180 35546220 36533615 43840338 65760507 73067230 87680676 109600845 131521014 146134460 219201690 263042028 328802535 438403380 657605070 982063067 1315210140 1964126134 2946189201 3928252268 4910315335 5892378402 8838567603 9820630670 11784756804 14730946005 17677135206 19641261340 29461892010 35354270412 36336333479 44192838015 58923784020 72672666958 88385676030 109009000437 145345333916 176771352060 181681667395 218018000874 327027001311 363363334790 436036001748 545045002185 654054002622 726726669580 1090090004370 1308108005244 1635135006555 2180180008740 3270270013110 6540540026220