Search a number
-
+
511142656260054 = 237131022999151201
BaseRepresentation
bin111010000111000011010110…
…0011101001011011111010110
32111000210202112120011012021010
41310032012230131023133112
51013444030130000310204
65011035410012033050
7212443560343431030
oct16416065435133726
92430722476135233
10511142656260054
11138958423aa7365
12493b2a55462786
1318c29712a8a530
149031617d08c50
153e15ed80bdd89
hex1d0e1ac74b7d6

511142656260054 has 64 divisors (see below), whose sum is σ = 1258209744422400. Its totient is φ = 134805521894400.

The previous prime is 511142656260013. The next prime is 511142656260101. The reversal of 511142656260054 is 450062656241115.

It is a happy number.

It is a super-2 number, since 2×5111426562600542 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 511142656259985 and 511142656260012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51279654 + ... + 60430854.

It is an arithmetic number, because the mean of its divisors is an integer number (19659527256600).

Almost surely, 2511142656260054 is an apocalyptic number.

511142656260054 is an abundant number, since it is smaller than the sum of its proper divisors (747067088162346).

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

511142656260054 is a wasteful number, since it uses less digits than its factorization.

511142656260054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9253525.

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 511142656260054 in words is "five hundred eleven trillion, one hundred forty-two billion, six hundred fifty-six million, two hundred sixty thousand, fifty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 102299 204598 306897 613794 716093 1329887 1432186 2148279 2659774 3989661 4296558 7979322 9151201 9309209 18302402 18618418 27453603 27927627 54907206 55855254 64058407 118965613 128116814 192175221 237931226 356896839 384350442 713793678 832759291 1665518582 2498277873 4996555746 936158711099 1872317422198 2808476133297 5616952266594 6553110977693 12170063244287 13106221955386 19659332933079 24340126488574 36510189732861 39318665866158 73020379465722 85190442710009 170380885420018 255571328130027 511142656260054