Search a number
-
+
506120144275074 = 237229591006135061
BaseRepresentation
bin111001100010100000100011…
…1011010011100011010000010
32110101000121120001202202000110
41303011001013122130122002
51012314233023413300244
64552232215013332150
7211414654664105400
oct16305010732343202
92411017501682013
10506120144275074
111372a1390a1133a
1248921584337056
1318953c03a83cc4
148cda4ba7ca470
153d7a52e3399b9
hex1cc504769c682

506120144275074 has 96 divisors (see below), whose sum is σ = 1238753488334400. Its totient is φ = 137252920344960.

The previous prime is 506120144275037. The next prime is 506120144275079. The reversal of 506120144275074 is 470572441021605.

It is not an unprimeable number, because it can be changed into a prime (506120144275079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502564497 + ... + 503570564.

It is an arithmetic number, because the mean of its divisors is an integer number (12903682170150).

Almost surely, 2506120144275074 is an apocalyptic number.

506120144275074 is an abundant number, since it is smaller than the sum of its proper divisors (732633344059326).

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

506120144275074 is a wasteful number, since it uses less digits than its factorization.

506120144275074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006135168 (or 1006135161 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

Adding to 506120144275074 its reverse (470572441021605), we get a palindrome (976692585296679).

The spelling of 506120144275074 in words is "five hundred six trillion, one hundred twenty billion, one hundred forty-four million, two hundred seventy-five thousand, seventy-four".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 59 87 98 118 147 174 177 203 294 354 406 413 609 826 1218 1239 1421 1711 2478 2842 2891 3422 4263 5133 5782 8526 8673 10266 11977 17346 23954 35931 71862 83839 167678 251517 503034 1006135061 2012270122 3018405183 6036810366 7042945427 14085890854 21128836281 29177916769 42257672562 49300617989 58355833538 59361968599 87533750307 98601235978 118723937198 147901853967 175067500614 178085905797 204245417383 295803707934 356171811594 408490834766 415533780193 612736252149 831067560386 1225472504298 1246601340579 1429717921681 1721497089371 2493202681158 2859435843362 2908736461351 3442994178742 4289153765043 5164491268113 5817472922702 8578307530086 8726209384053 10328982536226 12050479625597 17452418768106 24100959251194 36151438876791 72302877753582 84353357379179 168706714758358 253060072137537 506120144275074