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91690619616 = 25322941267763
BaseRepresentation
bin101010101100100101…
…1111101001011100000
322202200002002002020200
41111121023331023200
53000240244311431
6110042212105200
76424115256501
oct1253113751340
9282602062220
1091690619616
1135981a67692
121592b005200
13885316600b
14461b660ba8
1525b99caee6
hex15592fd2e0

91690619616 has 144 divisors (see below), whose sum is σ = 276316382160. Its totient is φ = 28789770240.

The previous prime is 91690619509. The next prime is 91690619681. The reversal of 91690619616 is 61691609619.

91690619616 is a `hidden beast` number, since 9 + 1 + 6 + 9 + 0 + 6 + 19 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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, 208551 + ... + 476313.

It is an arithmetic number, because the mean of its divisors is an integer number (1918863765).

Almost surely, 291690619616 is an apocalyptic number.

91690619616 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91690619616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138158191080).

91690619616 is an abundant number, since it is smaller than the sum of its proper divisors (184625762544).

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

91690619616 is a wasteful number, since it uses less digits than its factorization.

91690619616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267849 (or 267838 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 91690619616 in words is "ninety-one billion, six hundred ninety million, six hundred nineteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 41 48 58 72 82 87 96 116 123 144 164 174 232 246 261 288 328 348 369 464 492 522 656 696 738 928 984 1044 1189 1312 1392 1476 1968 2088 2378 2784 2952 3567 3936 4176 4756 5904 7134 8352 9512 10701 11808 14268 19024 21402 28536 38048 42804 57072 85608 114144 171216 267763 342432 535526 803289 1071052 1606578 2142104 2409867 3213156 4284208 4819734 6426312 7765127 8568416 9639468 10978283 12852624 15530254 19278936 21956566 23295381 25705248 31060508 32934849 38557872 43913132 46590762 62121016 65869698 69886143 77115744 87826264 93181524 98804547 124242032 131739396 139772286 175652528 186363048 197609094 248484064 263478792 279544572 318370207 351305056 372726096 395218188 526957584 559089144 636740414 745452192 790436376 955110621 1053915168 1118178288 1273480828 1580872752 1910221242 2236356576 2546961656 2865331863 3161745504 3820442484 5093923312 5730663726 7640884968 10187846624 11461327452 15281769936 22922654904 30563539872 45845309808 91690619616