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90626082690 = 235112132147727
BaseRepresentation
bin101010001100110111…
…1000100011110000010
322122220212222000010010
41110121233010132002
52441100234121230
6105344423245350
76355540664343
oct1243157043602
9278825860103
1090626082690
1135486074300
12156925a9856
138713750b00
14455a1140ca
1525562ec9b0
hex1519bc4782

90626082690 has 144 divisors (see below), whose sum is σ = 258879729024. Its totient is φ = 20279825280.

The previous prime is 90626082689. The next prime is 90626082727. The reversal of 90626082690 is 9628062609.

It is a super-2 number, since 2×906260826902 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 539607 + ... + 687333.

It is an arithmetic number, because the mean of its divisors is an integer number (1797775896).

Almost surely, 290626082690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90626082690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129439864512).

90626082690 is an abundant number, since it is smaller than the sum of its proper divisors (168253646334).

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

90626082690 is a wasteful number, since it uses less digits than its factorization.

90626082690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147785 (or 147761 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 90626082690 in words is "ninety billion, six hundred twenty-six million, eighty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 121 130 143 165 169 195 242 286 330 338 363 390 429 507 605 715 726 845 858 1014 1210 1430 1573 1690 1815 1859 2145 2535 3146 3630 3718 4290 4719 5070 5577 7865 9295 9438 11154 15730 18590 20449 23595 27885 40898 47190 55770 61347 102245 122694 147727 204490 295454 306735 443181 613470 738635 886362 1477270 1624997 1920451 2215905 3249994 3840902 4431810 4874991 5761353 8124985 9602255 9749982 11522706 16249970 17874967 19204510 21124961 24374955 24965863 28806765 35749934 42249922 48749910 49931726 53624901 57613530 63374883 74897589 89374835 105624805 107249802 124829315 126749766 149795178 178749670 211249610 232374571 249658630 268124505 274624493 316874415 374487945 464749142 536249010 549248986 633748830 697123713 748975890 823873479 1161872855 1373122465 1394247426 1647746958 2323745710 2746244930 3020869423 3485618565 4119367395 6041738846 6971237130 8238734790 9062608269 15104347115 18125216538 30208694230 45313041345 90626082690