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9959357664025 = 527411211712
BaseRepresentation
bin1001000011101101011111…
…1110011100101100011001
31022021002211202111200000121
42100323113332130230121
52301133231030222100
633103133222433241
72045353111240000
oct220732776345431
938232752450017
109959357664025
11319a815841500
12114a234892821
13573217ca6503
1426606d517c37
151240ebd7951a
hex90ed7f9cb19

9959357664025 has 135 divisors (see below), whose sum is σ = 15849343095999. Its totient is φ = 6203128932000.

The previous prime is 9959357664023. The next prime is 9959357664031. The reversal of 9959357664025 is 5204667539599.

The square root of 9959357664025 is 3155845.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3585368759049 + 6373988904976 = 1893507^2 + 2524676^2 .

It is not a de Polignac number, because 9959357664025 - 21 = 9959357664023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9959357664023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8505001690 + ... + 8505002860.

Almost surely, 29959357664025 is an apocalyptic number.

9959357664025 is the 3155845-th square number.

9959357664025 is the 1577923-rd centered octagonal number.

It is an amenable number.

9959357664025 is a deficient number, since it is larger than the sum of its proper divisors (5889985431974).

9959357664025 is an frugal number, since it uses more digits than its factorization.

9959357664025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 551124000, while the sum is 70.

The spelling of 9959357664025 in words is "nine trillion, nine hundred fifty-nine billion, three hundred fifty-seven million, six hundred sixty-four thousand, twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 175 245 275 343 385 539 605 847 1171 1225 1715 1925 2401 2695 3025 3773 4235 5855 5929 8197 8575 12005 12881 13475 18865 21175 26411 29275 29645 40985 41503 57379 60025 64405 90167 94325 132055 141691 148225 204925 207515 286895 290521 322025 401653 450835 631169 660275 708455 991837 1037575 1371241 1434475 1452605 2008265 2254175 2811571 3155845 3542275 4418183 4959185 6856205 6942859 7263025 9598687 10041325 14057855 15083651 15779225 22090915 24795925 30927281 34281025 34714295 47993435 48600013 67190809 70289275 75418255 105585557 110454575 154636405 165920161 173571475 239967175 243000065 335954045 340200091 377091275 470335663 527927785 739098899 773182025 829600805 1161441127 1215000325 1679770225 1701000455 2351678315 2639638925 3292349641 3695494495 4148004025 5173692293 5807205635 8130087889 8505002275 11758391575 16461748205 18477472475 25868461465 29036028175 36215846051 40650439445 56910615223 82308741025 129342307325 181079230255 203252197225 284553076115 398374306561 905396151275 1422765380575 1991871532805 9959357664025