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9090520362 = 2327117983023
BaseRepresentation
bin10000111011101011…
…00101010100101010
3212110112102021121100
420131311211110222
5122104133122422
64102013222230
7441162101550
oct103565452452
925415367540
109090520362
1139453a8550
121918491976
13b1b455041
14623459bd0
1538310c7ac
hex21dd6552a

9090520362 has 96 divisors (see below), whose sum is σ = 24867348480. Its totient is φ = 2331257760.

The previous prime is 9090520357. The next prime is 9090520363. The reversal of 9090520362 is 2630250909.

9090520362 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×90905203622 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9090520363) 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 47 ways as a sum of consecutive naturals, for example, 67983 + ... + 151005.

It is an arithmetic number, because the mean of its divisors is an integer number (259034880).

Almost surely, 29090520362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9090520362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12433674240).

9090520362 is an abundant number, since it is smaller than the sum of its proper divisors (15776828118).

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

9090520362 is a wasteful number, since it uses less digits than its factorization.

9090520362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83128 (or 83125 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 9090520362 is about 95344.2203911700. The cubic root of 9090520362 is about 2087.0342742548.

The spelling of 9090520362 in words is "nine billion, ninety million, five hundred twenty thousand, three hundred sixty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 79 99 126 154 158 198 231 237 462 474 553 693 711 869 1106 1386 1422 1659 1738 2607 3318 4977 5214 6083 7821 9954 12166 15642 18249 36498 54747 83023 109494 166046 249069 498138 581161 747207 913253 1162322 1494414 1743483 1826506 2739759 3486966 5230449 5479518 6392771 6558817 8219277 10460898 12785542 13117634 16438554 19178313 19676451 38356626 39352902 45911719 57534939 59029353 72146987 91823438 115069878 118058706 137735157 144293974 216440961 275470314 413205471 432881922 505028909 649322883 826410942 1010057818 1298645766 1515086727 3030173454 4545260181 9090520362