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264401061131545 = 513213749918892423
BaseRepresentation
bin111100000111100010101011…
…010100111011010100011001
31021200011111100112222201021221
4330013202223110323110121
5234123421333122202140
62334200100505532041
7106456226526660352
oct7407425324732431
91250144315881257
10264401061131545
11772789510a6238
12257a28444a4021
13b46bbb4066300
144941118760d29
152087a2975014a
hexf078ab53b519

264401061131545 has 96 divisors (see below), whose sum is σ = 347092996320000. Its totient is φ = 193254212616192.

The previous prime is 264401061131489. The next prime is 264401061131579. The reversal of 264401061131545 is 545131160104462.

It is not a de Polignac number, because 264401061131545 - 239 = 263851305317657 is a prime.

It is a super-2 number, since 2×2644010611315452 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109121361204 + ... + 109121363626.

It is an arithmetic number, because the mean of its divisors is an integer number (3615552045000).

Almost surely, 2264401061131545 is an apocalyptic number.

It is an amenable number.

264401061131545 is a deficient number, since it is larger than the sum of its proper divisors (82691935188455).

264401061131545 is a wasteful number, since it uses less digits than its factorization.

264401061131545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 264401061131545 in words is "two hundred sixty-four trillion, four hundred one billion, sixty-one million, one hundred thirty-one thousand, five hundred forty-five".

Divisors: 1 5 13 65 137 169 499 685 845 1781 1889 2423 2495 6487 8905 9445 12115 23153 24557 31499 32435 68363 84331 115765 122785 157495 258793 319241 331951 341815 409487 421655 888719 942611 1209077 1293965 1596205 1659755 2047435 3364309 4315363 4443595 4577047 4713055 6045385 11553347 12253943 15718001 16821545 21576815 22885235 43736017 56099719 57766735 59501611 61269715 78590005 129137707 159301259 165643549 204334013 218680085 280498595 297508055 627055439 645688535 773520943 796506295 828217745 1021670065 1678790191 2153366137 2283946453 3135277195 3867604715 8151720707 8393950955 10766830685 11419732265 21824272483 27993759781 29691303889 40758603535 105972369191 109121362415 139968798905 148456519445 312900664061 385986950557 529861845955 1564503320305 1929934752785 4067708632793 20338543163965 52880212226309 264401061131545