Search a number
-
+
528053544144 = 243371723101347
BaseRepresentation
bin1111010111100100111…
…00011010010011010000
31212110222221220102011000
413223302130122103100
532122423201403034
61042330124022000
753102442031650
oct7536234322320
91773887812130
10528053544144
11193a45506425
1286410091900
133aa45195139
141b7b4d50360
15db08924599
hex7af271a4d0

528053544144 has 160 divisors (see below), whose sum is σ = 1733261603840. Its totient is φ = 150783389568.

The previous prime is 528053544041. The next prime is 528053544149. The reversal of 528053544144 is 441445350825.

528053544144 is a `hidden beast` number, since 5 + 280 + 5 + 354 + 4 + 14 + 4 = 666.

528053544144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 528053544144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528053544149) 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, 5159679 + ... + 5261025.

It is an arithmetic number, because the mean of its divisors is an integer number (10832885024).

Almost surely, 2528053544144 is an apocalyptic number.

528053544144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528053544144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866630801920).

528053544144 is an abundant number, since it is smaller than the sum of its proper divisors (1205208059696).

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

528053544144 is a wasteful number, since it uses less digits than its factorization.

528053544144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103094 (or 103082 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

Adding to 528053544144 its reverse (441445350825), we get a palindrome (969498894969).

The spelling of 528053544144 in words is "five hundred twenty-eight billion, fifty-three million, five hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 1723 3024 3446 5169 6892 10338 12061 13784 15507 20676 24122 27568 31014 36183 41352 46521 48244 62028 72366 82704 93042 96488 101347 108549 124056 144732 186084 192976 202694 217098 248112 289464 304041 325647 372168 405388 434196 578928 608082 651294 709429 744336 810776 868392 912123 1216164 1302588 1418858 1621552 1736784 1824246 2128287 2432328 2605176 2736369 2837716 3648492 4256574 4864656 5210352 5472738 5675432 6384861 7296984 8513148 10945476 11350864 12769722 14593968 17026296 19154583 21890952 25539444 34052592 38309166 43781904 51078888 76618332 102157776 153236664 174620881 306473328 349241762 523862643 698483524 1047725286 1222346167 1396967048 1571587929 2095450572 2444692334 2793934096 3143175858 3667038501 4190901144 4714763787 4889384668 6286351716 7334077002 8381802288 9429527574 9778769336 11001115503 12572703432 14668154004 18859055148 19557538672 22002231006 25145406864 29336308008 33003346509 37718110296 44004462012 58672616016 66006693018 75436220592 88008924024 132013386036 176017848048 264026772072 528053544144