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90831110250 = 23531929219797
BaseRepresentation
bin101010010010111110…
…1001100000001101010
322200110011202111001110
41110211331030001222
52442010231012000
6105421025531150
76363610461336
oct1244575140152
9280404674043
1090831110250
1135580880571
121572b1a3ab6
1387470785aa
1445794447c6
1525692eb850
hex1525f4c06a

90831110250 has 128 divisors (see below), whose sum is σ = 246877113600. Its totient is φ = 22155436800.

The previous prime is 90831110147. The next prime is 90831110257. The reversal of 90831110250 is 5201113809.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (90831110257) 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 63 ways as a sum of consecutive naturals, for example, 303352 + ... + 523148.

It is an arithmetic number, because the mean of its divisors is an integer number (1928727450).

Almost surely, 290831110250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90831110250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123438556800).

90831110250 is an abundant number, since it is smaller than the sum of its proper divisors (156046003350).

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

90831110250 is a wasteful number, since it uses less digits than its factorization.

90831110250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219865 (or 219855 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 90831110250 in words is "ninety billion, eight hundred thirty-one million, one hundred ten thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 29 30 38 50 57 58 75 87 95 114 125 145 150 174 190 250 285 290 375 435 475 551 570 725 750 870 950 1102 1425 1450 1653 2175 2375 2755 2850 3306 3625 4350 4750 5510 7125 7250 8265 10875 13775 14250 16530 21750 27550 41325 68875 82650 137750 206625 219797 413250 439594 659391 1098985 1318782 2197970 3296955 4176143 5494925 6374113 6593910 8352286 10989850 12528429 12748226 16484775 19122339 20880715 25056858 27474625 31870565 32969550 38244678 41761430 54949250 62642145 63741130 82423875 95611695 104403575 121108147 125284290 159352825 164847750 191223390 208807150 242216294 313210725 318705650 363324441 478058475 522017875 605540735 626421450 726648882 796764125 956116950 1044035750 1211081470 1566053625 1593528250 1816622205 2390292375 3027703675 3132107250 3633244410 4780584750 6055407350 9083111025 15138518375 18166222050 30277036750 45415555125 90831110250