Search a number
-
+
90435649062 = 231131476911361
BaseRepresentation
bin101010000111001100…
…0100111111000100110
322122102121121222021210
41110032120213320212
52440203011232222
6105313501452250
76351036222303
oct1241630477046
9278377558253
1090435649062
1135398625740
121563a871086
1386b3165ba5
14453cb020aa
152544732d0c
hex150e627e26

90435649062 has 128 divisors (see below), whose sum is σ = 208466804736. Its totient is φ = 25899840000.

The previous prime is 90435649061. The next prime is 90435649067. The reversal of 90435649062 is 26094653409.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90435649061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66447262 + ... + 66448622.

It is an arithmetic number, because the mean of its divisors is an integer number (1628646912).

Almost surely, 290435649062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90435649062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104233402368).

90435649062 is an abundant number, since it is smaller than the sum of its proper divisors (118031155674).

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

90435649062 is a wasteful number, since it uses less digits than its factorization.

90435649062 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146.

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 90435649062 in words is "ninety billion, four hundred thirty-five million, six hundred forty-nine thousand, sixty-two".

Divisors: 1 2 3 6 11 22 31 33 47 62 66 93 94 141 186 282 341 517 682 691 1023 1034 1361 1382 1457 1551 2046 2073 2722 2914 3102 4083 4146 4371 7601 8166 8742 14971 15202 16027 21421 22803 29942 32054 32477 42191 42842 44913 45606 48081 63967 64263 64954 84382 89826 96162 97431 126573 127934 128526 191901 194862 235631 253146 357247 383802 464101 471262 703637 706893 714494 928202 940451 1006787 1071741 1392303 1407274 1413786 1880902 1982977 2013574 2110911 2143482 2784606 2821353 3020361 3965954 4221822 5642706 5948931 6040722 10344961 11074657 11897862 20689922 21812747 22149314 29153981 31034883 33223971 43625494 44201197 58307962 62069766 65438241 66447942 87461943 88402394 130876482 132603591 174923886 265207182 320693791 486213167 641387582 962081373 972426334 1370237107 1458639501 1924162746 2740474214 2917279002 4110711321 8221422642 15072608177 30145216354 45217824531 90435649062