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540501343320 = 233522329696803
BaseRepresentation
bin1111101110110000110…
…00111111110001011000
31220200010110122010111010
413313120120333301120
532323421320441240
61052145231333520
754023061420441
oct7673030776130
91820113563433
10540501343320
11199252a10164
12889049812a0
133bc7a035993
141c2362162c8
15e0d664b280
hex7dd863fc58

540501343320 has 128 divisors (see below), whose sum is σ = 1629563443200. Its totient is φ = 143417938944.

The previous prime is 540501343301. The next prime is 540501343379. The reversal of 540501343320 is 23343105045.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 79447039 + ... + 79453841.

It is an arithmetic number, because the mean of its divisors is an integer number (12730964400).

Almost surely, 2540501343320 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 540501343320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814781721600).

540501343320 is an abundant number, since it is smaller than the sum of its proper divisors (1089062099880).

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

540501343320 is a wasteful number, since it uses less digits than its factorization.

540501343320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10009 (or 10005 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 540501343320 its reverse (23343105045), we get a palindrome (563844448365).

The spelling of 540501343320 in words is "five hundred forty billion, five hundred one million, three hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 223 446 669 892 1115 1338 1784 2230 2676 2969 3345 4460 5352 5938 6690 6803 8907 8920 11876 13380 13606 14845 17814 20409 23752 26760 27212 29690 34015 35628 40818 44535 54424 59380 68030 71256 81636 89070 102045 118760 136060 163272 178140 204090 272120 356280 408180 662087 816360 1324174 1517069 1986261 2648348 3034138 3310435 3972522 4551207 5296696 6068276 6620870 7585345 7945044 9102414 9931305 12136552 13241740 15170690 15890088 18204828 19862610 20198107 22756035 26483480 30341380 36409656 39725220 40396214 45512070 60594321 60682760 79450440 80792428 91024140 100990535 121188642 161584856 182048280 201981070 242377284 302971605 403962140 484754568 605943210 807924280 1211886420 2423772840 4504177861 9008355722 13512533583 18016711444 22520889305 27025067166 36033422888 45041778610 54050134332 67562667915 90083557220 108100268664 135125335830 180167114440 270250671660 540501343320