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540012501305 = 5192299175901
BaseRepresentation
bin1111101101110110100…
…00001101100100111001
31220121212101210101022022
413312323100031210321
532321421200020210
61052024530004225
754005004345164
oct7667320154471
91817771711268
10540012501305
11199021a849a2
12887a9116675
133bbcc989554
141c1cb326adb
15e0a8789155
hex7dbb40d939

540012501305 has 12 divisors (see below), whose sum is σ = 683916111972. Its totient is φ = 409272631200.

The previous prime is 540012501263. The next prime is 540012501313. The reversal of 540012501305 is 503105210045.

It can be written as a sum of positive squares in 2 ways, for example, as 149072437801 + 390940063504 = 386099^2 + 625252^2 .

It is not a de Polignac number, because 540012501305 - 228 = 539744065849 is a prime.

It is a super-2 number, since 2×5400125013052 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149586146 + ... + 149589755.

It is an arithmetic number, because the mean of its divisors is an integer number (56993009331).

Almost surely, 2540012501305 is an apocalyptic number.

It is an amenable number.

540012501305 is a deficient number, since it is larger than the sum of its proper divisors (143903610667).

540012501305 is a wasteful number, since it uses less digits than its factorization.

540012501305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299175944 (or 299175925 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The spelling of 540012501305 in words is "five hundred forty billion, twelve million, five hundred one thousand, three hundred five".

Divisors: 1 5 19 95 361 1805 299175901 1495879505 5684342119 28421710595 108002500261 540012501305