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90091000206 = 23229971998941
BaseRepresentation
bin101001111100111010…
…1111001000110001110
322121112121002222221100
41103321311321012032
52434001244001311
6105215350443530
76336352603164
oct1237165710616
9277477088840
1090091000206
1135231025979
12155633635a6
13865993455c
144509029234
152524354a56
hex14f9d7918e

90091000206 has 96 divisors (see below), whose sum is σ = 205057944000. Its totient is φ = 28548495360.

The previous prime is 90091000187. The next prime is 90091000247. The reversal of 90091000206 is 60200019009.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 90091000206.

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, 10071696 + ... + 10080636.

It is an arithmetic number, because the mean of its divisors is an integer number (2136020250).

Almost surely, 290091000206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90091000206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102528972000).

90091000206 is an abundant number, since it is smaller than the sum of its proper divisors (114966943794).

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

90091000206 is a wasteful number, since it uses less digits than its factorization.

90091000206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9274 (or 9271 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 90091000206 in words is "ninety billion, ninety-one million, two hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 29 58 87 97 174 194 199 261 291 398 522 582 597 873 1194 1746 1791 2813 3582 5626 5771 8439 8941 11542 16878 17313 17882 19303 25317 26823 34626 38606 50634 51939 53646 57909 80469 103878 115818 160938 173727 259289 347454 518578 559787 777867 867277 1119574 1555734 1679361 1734554 1779259 2333601 2601831 3358722 3558518 4667202 5038083 5203662 5337777 7805493 10076166 10675554 15610986 16013331 25151033 32026662 50302066 51598511 75453099 103197022 150906198 154795533 172588123 226359297 309591066 345176246 452718594 464386599 517764369 928773198 1035528738 1553293107 3106586214 5005055567 10010111134 15015166701 30030333402 45045500103 90091000206