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9097506720864 = 2532521587103289
BaseRepresentation
bin1000010001100010110110…
…1010000000110001100000
31012012201020212220110121100
42010120231222000301200
52143023143210031424
631203200433554400
71626162461136342
oct204305552006140
935181225813540
109097506720864
11299825a410761
12102b1a8715a00
1350cb77c84123
14236470965292
1510b9a8ab6dc9
hex8462da80c60

9097506720864 has 144 divisors (see below), whose sum is σ = 25965100521360. Its totient is φ = 3021496258560.

The previous prime is 9097506720859. The next prime is 9097506720877. The reversal of 9097506720864 is 4680276057909.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88026532 + ... + 88129820.

It is an arithmetic number, because the mean of its divisors is an integer number (180313198065).

Almost surely, 29097506720864 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 9097506720864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12982550260680).

9097506720864 is an abundant number, since it is smaller than the sum of its proper divisors (16867593800496).

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

9097506720864 is a wasteful number, since it uses less digits than its factorization.

9097506720864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104413 (or 104402 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 9097506720864 in words is "nine trillion, ninety-seven billion, five hundred six million, seven hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 521 587 1042 1174 1563 1761 2084 2348 3126 3522 4168 4689 4696 5283 6252 7044 8336 9378 9392 10566 12504 14088 16672 18756 18784 21132 25008 28176 37512 42264 50016 56352 75024 84528 103289 150048 169056 206578 305827 309867 413156 611654 619734 826312 917481 929601 1223308 1239468 1652624 1834962 1859202 2446616 2478936 2752443 3305248 3669924 3718404 4893232 4957872 5504886 7339848 7436808 9786464 9915744 11009772 14679696 14873616 22019544 29359392 29747232 44039088 53813569 60630643 88078176 107627138 121261286 161440707 181891929 215254276 242522572 322881414 363783858 430508552 484322121 485045144 545675787 645762828 727567716 861017104 968644242 970090288 1091351574 1291525656 1455135432 1722034208 1937288484 1940180576 2182703148 2583051312 2910270864 3874576968 4365406296 5166102624 5820541728 7749153936 8730812592 15498307872 17461625184 31588565003 63177130006 94765695009 126354260012 189531390018 252708520024 284297085027 379062780036 505417040048 568594170054 758125560072 1010834080096 1137188340108 1516251120144 2274376680216 3032502240288 4548753360432 9097506720864