Search a number
-
+
51411854082436 = 226727327332
BaseRepresentation
bin10111011000010010000010…
…10011001100000110000100
320202000220222111200211200221
423230021001103030012010
523214312434121114221
6301202140230114124
713554245446210231
oct1354110123140604
9222026874624627
1051411854082436
1115421710363a21
125923b65aab944
13228c16a1919c3
14c9a4c02ca788
155e251881a541
hex2ec2414cc184

51411854082436 has 81 divisors (see below), whose sum is σ = 92728423842831. Its totient is φ = 24941303443584.

The previous prime is 51411854082419. The next prime is 51411854082439. The reversal of 51411854082436 is 63428045811415.

The square root of 51411854082436 is 7170206.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21609426176836 + 29802427905600 = 4648594^2 + 5459160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51411854082439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70138954726 + ... + 70138955458.

Almost surely, 251411854082436 is an apocalyptic number.

51411854082436 is the 7170206-th square number.

It is an amenable number.

51411854082436 is a deficient number, since it is larger than the sum of its proper divisors (41316569760395).

51411854082436 is an frugal number, since it uses more digits than its factorization.

51411854082436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

It can be divided in two parts, 514118540 and 82436, that added together give a square (514200976 = 226762).

The spelling of 51411854082436 in words is "fifty-one trillion, four hundred eleven billion, eight hundred fifty-four million, eighty-two thousand, four hundred thirty-six".

Divisors: 1 2 4 67 73 134 146 268 292 733 1466 2932 4489 4891 5329 8978 9782 10658 17956 19564 21316 49111 53509 98222 107018 196444 214036 327697 357043 537289 655394 714086 1074578 1310788 1428172 2149156 3290437 3585103 3906157 6580874 7170206 7812314 13161748 14340412 15624628 23921881 35998363 39222097 47843762 71996726 78444194 95687524 143993452 156888388 240201901 261712519 480403802 523425038 960807604 1046850076 2411890321 2627880499 2863213081 4823780642 5255760998 5726426162 9647561284 10511521996 11452852324 17534738773 35069477546 70138955092 176067993433 191835276427 352135986866 383670552854 704271973732 767341105708 12852963520609 25705927041218 51411854082436