Search a number
-
+
553653145022420 = 2252353181125465839
BaseRepresentation
bin111110111100010110110101…
…1000010011010111111010100
32200121022201112121121002211102
41331320231223002122333110
51040032023120111204140
65241304424335125232
7224422056030055352
oct17570555302327724
92617281477532742
10553653145022420
11150457a86726063
1252119832073818
131a9c1362a73691
149aa0d530c87d2
154401bc7652e15
hex1f78b6b09afd4

553653145022420 has 96 divisors (see below), whose sum is σ = 1242942901724160. Its totient is φ = 206687402887680.

The previous prime is 553653145022309. The next prime is 553653145022423. The reversal of 553653145022420 is 24220541356355.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553653145022423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58320140 + ... + 67145699.

It is an arithmetic number, because the mean of its divisors is an integer number (12947321892960).

Almost surely, 2553653145022420 is an apocalyptic number.

It is an amenable number.

553653145022420 is an abundant number, since it is smaller than the sum of its proper divisors (689289756701740).

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

553653145022420 is a wasteful number, since it uses less digits than its factorization.

553653145022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125466105 (or 125466103 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 47.

Adding to 553653145022420 its reverse (24220541356355), we get a palindrome (577873686378775).

The spelling of 553653145022420 in words is "five hundred fifty-three trillion, six hundred fifty-three billion, one hundred forty-five million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 53 92 106 115 181 212 230 265 362 460 530 724 905 1060 1219 1810 2438 3620 4163 4876 6095 8326 9593 12190 16652 19186 20815 24380 38372 41630 47965 83260 95930 191860 220639 441278 882556 1103195 2206390 4412780 125465839 250931678 501863356 627329195 1254658390 2509316780 2885714297 5771428594 6649689467 11542857188 13299378934 14428571485 22709316859 26598757868 28857142970 33248447335 45418633718 57714285940 66496894670 90837267436 113546584295 132993789340 152942857741 227093168590 305885715482 454186337180 522314287757 611771430964 764714288705 1044628575514 1203593793527 1529428577410 2089257151028 2407187587054 2611571438785 3058857154820 4814375174108 5223142877570 6017968967635 10446285755140 12035937935270 24071875870540 27682657251121 55365314502242 110730629004484 138413286255605 276826572511210 553653145022420