Search a number
-
+
54054411320 = 23571322765419
BaseRepresentation
bin110010010101111001…
…001101110000111000
312011112010220121101002
4302111321031300320
51341200412130240
640455433344132
73622342625630
oct622571156070
9164463817332
1054054411320
1120a19340308
12a586868048
135135a32690
14288ada96c0
1516157b6d15
hexc95e4dc38

54054411320 has 128 divisors (see below), whose sum is σ = 150350860800. Its totient is φ = 17031707136.

The previous prime is 54054411289. The next prime is 54054411329. The reversal of 54054411320 is 2311445045.

54054411320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54054411329) 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, 793571 + ... + 858989.

It is an arithmetic number, because the mean of its divisors is an integer number (1174616100).

Almost surely, 254054411320 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 54054411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75175430400).

54054411320 is an abundant number, since it is smaller than the sum of its proper divisors (96296449480).

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

54054411320 is a wasteful number, since it uses less digits than its factorization.

54054411320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65677 (or 65673 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 54054411320 its reverse (2311445045), we get a palindrome (56365856365).

The spelling of 54054411320 in words is "fifty-four billion, fifty-four million, four hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 227 260 280 364 454 455 520 728 908 910 1135 1589 1816 1820 2270 2951 3178 3640 4540 5902 6356 7945 9080 11804 12712 14755 15890 20657 23608 29510 31780 41314 59020 63560 65419 82628 103285 118040 130838 165256 206570 261676 327095 413140 457933 523352 654190 826280 850447 915866 1308380 1700894 1831732 2289665 2616760 3401788 3663464 4252235 4579330 5953129 6803576 8504470 9158660 11906258 14850113 17008940 18317320 23812516 29700226 29765645 34017880 47625032 59400452 59531290 74250565 103950791 118800904 119062580 148501130 193051469 207901582 238125160 297002260 386102938 415803164 519753955 594004520 772205876 831606328 965257345 1039507910 1351360283 1544411752 1930514690 2079015820 2702720566 3861029380 4158031640 5405441132 6756801415 7722058760 10810882264 13513602830 27027205660 54054411320