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668466508444525 = 52723177343975179
BaseRepresentation
bin1001011111111101110111110…
…0110001111011001101101101
310020122211202220022121111201201
42113333131330301323031231
51200104123402130211100
610325413135150005501
7260542053144616600
oct22777357461731555
93218752808544651
10668466508444525
11183aa306614940a
1262b813551a6891
13228cc17656418b
14bb0dd4741c337
15524353440036a
hex25ff77cc7b36d

668466508444525 has 144 divisors (see below), whose sum is σ = 997039750371840. Its totient is φ = 442830546547200.

The previous prime is 668466508444523. The next prime is 668466508444627. The reversal of 668466508444525 is 525444805664866.

It is not a de Polignac number, because 668466508444525 - 21 = 668466508444523 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668466508444523) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 129072503386 + ... + 129072508564.

It is an arithmetic number, because the mean of its divisors is an integer number (6923887155360).

Almost surely, 2668466508444525 is an apocalyptic number.

It is an amenable number.

668466508444525 is a deficient number, since it is larger than the sum of its proper divisors (328573241927315).

668466508444525 is a wasteful number, since it uses less digits than its factorization.

668466508444525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10404 (or 10392 counting only the distinct ones).

The product of its (nonzero) digits is 5308416000, while the sum is 73.

The spelling of 668466508444525 in words is "six hundred sixty-eight trillion, four hundred sixty-six billion, five hundred eight million, four hundred forty-four thousand, five hundred twenty-five".

Divisors: 1 5 7 25 31 35 49 155 175 217 245 773 775 1085 1225 1519 3865 4397 5179 5411 5425 7595 19325 21985 23963 25895 27055 30779 36253 37877 37975 109925 119815 129475 135275 136307 153895 160549 167741 181265 189385 215453 253771 599075 681535 769475 802745 838705 906325 946925 954149 1077265 1123843 1174187 1268855 3398881 3407675 4003367 4013725 4193525 4770745 5386325 5619215 5870935 6344275 6679043 7866901 16994405 20016835 22772063 23792167 23853725 28023569 28096075 29354675 33395215 39334505 84972025 100084175 105365311 113860315 118960835 124104377 140117845 159404441 166545169 166976075 196164983 196672525 526826555 569301575 594804175 620521885 700589225 705933953 737557177 797022205 832725845 868730639 980824915 1115831087 2634132775 3102609425 3529669765 3687785885 3985111025 4163629225 4343653195 4904124575 4941537671 5162900239 5579155435 6081114473 17602804699 17648348825 18438929425 21718265975 24707688355 25814501195 27895777175 30405572365 34590763697 88014023495 123219632893 123538441775 129072505975 152027861825 172953818485 440070117475 545686945669 616098164465 862537430251 864769092425 2728434728345 3080490822325 3819808619683 4312687151255 13642173641725 19099043098415 21563435756275 26738660337781 95495215492075 133693301688905 668466508444525