Search a number
-
+
54221121564 = 22323383683751
BaseRepresentation
bin110010011111110101…
…001010100000011100
312011221202121100211120
4302133311022200130
51342021101342224
640524150450540
73626435633421
oct623765124034
9164852540746
1054221121564
1120aa4456175
12a612663a50
1351614324ac
1428a51a3d48
151625247779
hexc9fd4a81c

54221121564 has 96 divisors (see below), whose sum is σ = 132731633664. Its totient is φ = 17194584000.

The previous prime is 54221121523. The next prime is 54221121593. The reversal of 54221121564 is 46512112245.

It is a happy number.

54221121564 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72198189 + ... + 72198939.

It is an arithmetic number, because the mean of its divisors is an integer number (1382621184).

Almost surely, 254221121564 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 54221121564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66365816832).

54221121564 is an abundant number, since it is smaller than the sum of its proper divisors (78510512100).

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

54221121564 is a wasteful number, since it uses less digits than its factorization.

54221121564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1845 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The spelling of 54221121564 in words is "fifty-four billion, two hundred twenty-one million, one hundred twenty-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 383 683 751 766 1149 1366 1502 1532 2049 2253 2298 2732 3004 4098 4506 4596 8196 8809 9012 15709 17273 17618 26427 31418 34546 35236 47127 51819 52854 62836 69092 94254 103638 105708 188508 207276 261589 287633 512933 523178 575266 784767 862899 1025866 1046356 1150532 1538799 1569534 1725798 2051732 3077598 3139068 3451596 6016547 6155196 6615559 11797459 12033094 13231118 18049641 19846677 23594918 24066188 26462236 35392377 36099282 39693354 47189836 70784754 72198564 79386708 141569508 196453339 392906678 589360017 785813356 1178720034 2357440068 4518426797 9036853594 13555280391 18073707188 27110560782 54221121564