Search a number
-
+
88748499484788 = 2231121322877205519
BaseRepresentation
bin10100001011011101011110…
…110010010100000001110100
3102122020021101112001220221120
4110023131132302110001310
543113023411332003123
6512430255310143540
724456603356564133
oct2413353662240164
9378207345056846
1088748499484788
1126307033321800
129b54078ab1bb0
133a69c41b203b0
1417cb64386d91a
15a3d8436ee2e3
hex50b75ec94074

88748499484788 has 144 divisors (see below), whose sum is σ = 245137557692160. Its totient is φ = 24823549175040.

The previous prime is 88748499484753. The next prime is 88748499484819.

88748499484788 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 88748499484695 and 88748499484704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431723493 + ... + 431929011.

It is an arithmetic number, because the mean of its divisors is an integer number (1702344150640).

Almost surely, 288748499484788 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 88748499484788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122568778846080).

88748499484788 is an abundant number, since it is smaller than the sum of its proper divisors (156389058207372).

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

88748499484788 is a wasteful number, since it uses less digits than its factorization.

88748499484788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228438 (or 228425 counting only the distinct ones).

The product of its digits is 266355081216, while the sum is 96.

The spelling of 88748499484788 in words is "eighty-eight trillion, seven hundred forty-eight billion, four hundred ninety-nine million, four hundred eighty-four thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 363 429 484 572 726 858 1452 1573 1716 3146 4719 6292 9438 18876 22877 45754 68631 91508 137262 205519 251647 274524 297401 411038 503294 594802 616557 754941 822076 892203 1006588 1189604 1233114 1509882 1784406 2260709 2466228 2671747 2768117 3019764 3271411 3568812 4521418 5343494 5536234 6542822 6782127 8015241 8304351 9042836 9814233 10686988 11072468 13085644 13564254 16030482 16608702 19628466 24867799 27128508 29389217 32060964 33217404 35985521 39256932 49735598 58778434 71971042 74603397 88167651 99471196 107956563 117556868 143942084 149206794 176335302 215913126 298413588 323281387 352670604 431826252 646562774 969844161 1293125548 1939688322 3879376644 4701658163 9403316326 14104974489 18806632652 28209948978 51718239793 56419897956 61121556119 103436479586 122243112238 155154719379 183364668357 206872959172 244486224476 310309438758 366729336714 568900637723 620618877516 672337117309 733458673428 1137801275446 1344674234618 1706701913169 2017011351927 2275602550892 2689348469236 3413403826338 4034022703854 6826807652676 7395708290399 8068045407708 14791416580798 22187124871197 29582833161596 44374249742394 88748499484788