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91432112630200 = 23521499833121253
BaseRepresentation
bin10100110010100000110010…
…100110000010100110111000
3102222201211021010122201010021
4110302200302212002212320
543441010431313131300
6522243155505300224
725154515662133366
oct2462406246024670
9388654233581107
1091432112630200
1127151160a49851
12a3081a5634674
133c0301b87a324
1418814a3150636
15a8855bd24d1a
hex5328329829b8

91432112630200 has 96 divisors (see below), whose sum is σ = 214224147036000. Its totient is φ = 36290422453760.

The previous prime is 91432112630071. The next prime is 91432112630207. The reversal of 91432112630200 is 203621123419.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91432112630207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27732774 + ... + 30854026.

It is an arithmetic number, because the mean of its divisors is an integer number (2231501531625).

Almost surely, 291432112630200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91432112630200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107112073518000).

91432112630200 is an abundant number, since it is smaller than the sum of its proper divisors (122792034405800).

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

91432112630200 is a wasteful number, since it uses less digits than its factorization.

91432112630200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122401 (or 3122392 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

Adding to 91432112630200 its reverse (203621123419), we get a palindrome (91635733753619).

The spelling of 91432112630200 in words is "ninety-one trillion, four hundred thirty-two billion, one hundred twelve million, six hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 298 596 745 983 1192 1490 1966 2980 3725 3932 4915 5960 7450 7864 9830 14900 19660 24575 29800 39320 49150 98300 146467 196600 292934 585868 732335 1171736 1464670 2929340 3121253 3661675 5858680 6242506 7323350 12485012 14646700 15606265 24970024 29293400 31212530 62425060 78031325 124850120 156062650 312125300 465066697 624250600 930133394 1860266788 2325333485 3068191699 3720533576 4650666970 6136383398 9301333940 11626667425 12272766796 15340958495 18602667880 23253334850 24545533592 30681916990 46506669700 61363833980 76704792475 93013339400 122727667960 153409584950 306819169900 457160563151 613638339800 914321126302 1828642252604 2285802815755 3657284505208 4571605631510 9143211263020 11429014078775 18286422526040 22858028157550 45716056315100 91432112630200