Search a number
-
+
54821310888 = 23319236138527
BaseRepresentation
bin110011000011100110…
…101101000110101000
312020111120222010210210
4303003212231012220
51344233223422023
641103510541120
73650344311501
oct630346550650
9166446863723
1054821310888
1121282223303
12a75b6677a0
1352288962c6
142920b99ba8
15165cca1593
hexcc39ad1a8

54821310888 has 128 divisors (see below), whose sum is σ = 150802329600. Its totient is φ = 16530345216.

The previous prime is 54821310883. The next prime is 54821310913. The reversal of 54821310888 is 88801312845.

It is a super-2 number, since 2×548213108882 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54821310883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6424881 + ... + 6433407.

It is an arithmetic number, because the mean of its divisors is an integer number (1178143200).

Almost surely, 254821310888 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 54821310888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75401164800).

54821310888 is an abundant number, since it is smaller than the sum of its proper divisors (95981018712).

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

54821310888 is a wasteful number, since it uses less digits than its factorization.

54821310888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9191 (or 9187 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The spelling of 54821310888 in words is "fifty-four billion, eight hundred twenty-one million, three hundred ten thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 613 874 1226 1311 1748 1839 2452 2622 3496 3678 4904 5244 7356 8527 10488 11647 14099 14712 17054 23294 25581 28198 34108 34941 42297 46588 51162 56396 68216 69882 84594 93176 102324 112792 139764 162013 169188 196121 204648 267881 279528 324026 338376 392242 486039 535762 588363 648052 784484 803643 972078 1071524 1176726 1296104 1568968 1607286 1944156 2143048 2353452 3214572 3726299 3888312 4706904 5227051 6429144 7452598 10454102 11178897 14905196 15681153 20908204 22357794 29810392 31362306 41816408 44715588 62724612 89431176 99313969 120222173 125449224 198627938 240444346 297941907 360666519 397255876 480888692 595883814 721333038 794511752 961777384 1191767628 1442666076 2284221287 2383535256 2885332152 4568442574 6852663861 9136885148 13705327722 18273770296 27410655444 54821310888