Search a number
-
+
90582432524628 = 223117911719741229
BaseRepresentation
bin10100100110001001011101…
…101101101010100101010100
3102212201121002110122010011120
4110212021131231222211110
543333100310211242003
6520352554532003540
725036236056324412
oct2446113555524524
9385647073563146
1090582432524628
1126953880754470
12a1ab5954605b0
133b70b6b2060a5
1418522dab6a2b2
15a713cc2cb853
hex52625db6a954

90582432524628 has 96 divisors (see below), whose sum is σ = 233512355328000. Its totient is φ = 27099414276480.

The previous prime is 90582432524581. The next prime is 90582432524641. The reversal of 90582432524628 is 82642523428509.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121835118 + ... + 122576346.

It is an arithmetic number, because the mean of its divisors is an integer number (2432420368000).

Almost surely, 290582432524628 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 90582432524628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116756177664000).

90582432524628 is an abundant number, since it is smaller than the sum of its proper divisors (142929922803372).

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

90582432524628 is a wasteful number, since it uses less digits than its factorization.

90582432524628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753045 (or 753043 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 60.

The spelling of 90582432524628 in words is "ninety trillion, five hundred eighty-two billion, four hundred thirty-two million, five hundred twenty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 10428 11719 23438 35157 46876 70314 128909 140628 257818 386727 515636 741229 773454 925801 1482458 1546908 1851602 2223687 2777403 2964916 3703204 4447374 5554806 8153519 8894748 10183811 11109612 16307038 20367622 24460557 30551433 32614076 40735244 48921114 58557091 61102866 97842228 117114182 122205732 175671273 234228364 351342546 644128001 702685092 1288256002 1932384003 2576512004 3864768006 7729536012 8686462651 17372925302 26059387953 34745850604 52118775906 95551089161 104237551812 191102178322 286653267483 382204356644 573306534966 686230549429 1146613069932 1372461098858 2058691648287 2744922197716 4117383296574 7548536043719 8234766593148 15097072087438 22645608131157 30194144174876 45291216262314 90582432524628