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91224017216992 = 25116724111604333
BaseRepresentation
bin10100101111011110111111…
…001001000010010111100000
3102221222221010121102102102001
4110233132333021002113200
543424103241401420432
6522003422430333344
725133501121246532
oct2457367711022740
9387887117372361
1091224017216992
1127080985571910
12a2939aa95a254
133bb950731c22a
1418753a1c49852
15a82e2cd099e7
hex52f7bf2425e0

91224017216992 has 96 divisors (see below), whose sum is σ = 198931152680064. Its totient is φ = 40829607667200.

The previous prime is 91224017216963. The next prime is 91224017216999. The reversal of 91224017216992 is 29961271042219.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91224017216999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56058858 + ... + 57663190.

It is an arithmetic number, because the mean of its divisors is an integer number (2072199507084).

Almost surely, 291224017216992 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 91224017216992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99465576340032).

91224017216992 is an abundant number, since it is smaller than the sum of its proper divisors (107707135463072).

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

91224017216992 is a wasteful number, since it uses less digits than its factorization.

91224017216992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606832 (or 1606824 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 55.

The spelling of 91224017216992 in words is "ninety-one trillion, two hundred twenty-four billion, seventeen million, two hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 67 88 134 176 268 352 536 737 1072 1474 2144 2411 2948 4822 5896 9644 11792 19288 23584 26521 38576 53042 77152 106084 161537 212168 323074 424336 646148 848672 1292296 1604333 1776907 2584592 3208666 3553814 5169184 6417332 7107628 12834664 14215256 17647663 25669328 28430512 35295326 51338656 56861024 70590652 107490311 141181304 214980622 282362608 429961244 564725216 859922488 1182393421 1719844976 2364786842 3439689952 3868046863 4729573684 7736093726 9459147368 15472187452 18918294736 30944374904 37836589472 42548515493 61888749808 85097030986 123777499616 170194061972 259159139821 340388123944 518318279642 680776247888 1036636559284 1361552495776 2073273118568 2850750538031 4146546237136 5701501076062 8293092474272 11403002152124 22806004304248 45612008608496 91224017216992