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540053331203204 = 2271371160611301081
BaseRepresentation
bin111101011001011001111011…
…0111101110101010010000100
32121211011121001012120111002022
41322302303312331311102010
51031241213210242000304
65152333024134502312
7221516364665666030
oct17262636675652204
92554147035514068
10540053331203204
11147094371337195
12506a1b53b04998
131a245a6cbb7010
149750a138451c0
15426805e677ebe
hex1eb2cf6f75484

540053331203204 has 96 divisors (see below), whose sum is σ = 1179649123333632. Its totient is φ = 210625075584000.

The previous prime is 540053331203153. The next prime is 540053331203207. The reversal of 540053331203204 is 402302133350045.

It is not an unprimeable number, because it can be changed into a prime (540053331203207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414429944 + ... + 415731024.

It is an arithmetic number, because the mean of its divisors is an integer number (12288011701392).

Almost surely, 2540053331203204 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 540053331203204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589824561666816).

540053331203204 is an abundant number, since it is smaller than the sum of its proper divisors (639595792130428).

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

540053331203204 is a wasteful number, since it uses less digits than its factorization.

540053331203204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317237 (or 1317235 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

Adding to 540053331203204 its reverse (402302133350045), we get a palindrome (942355464553249).

The spelling of 540053331203204 in words is "five hundred forty trillion, fifty-three billion, three hundred thirty-one million, two hundred three thousand, two hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 71 91 142 182 284 364 497 923 994 1846 1988 3692 6461 12922 16061 25844 32122 64244 112427 208793 224854 417586 449708 835172 1140331 1301081 1461551 2280662 2602162 2923102 4561324 5204324 5846204 7982317 9107567 14824303 15964634 16914053 18215134 29648606 31929268 33828106 36430268 59297212 67656212 92376751 103770121 118398371 184753502 207540242 236796742 369507004 415080484 473593484 646637257 1200897763 1293274514 2401795526 2586549028 4803591052 8406284341 16812568682 20896661941 33625137364 41793323882 83586647764 146276633587 271656605233 292553267174 543313210466 585106534348 1086626420932 1483662997811 1901596236631 2967325995622 3803192473262 5934651991244 7606384946524 10385640984677 19287618971543 20771281969354 38575237943086 41542563938708 77150475886172 135013332800801 270026665601602 540053331203204