Search a number
-
+
50505550000074 = 2321310710511919273
BaseRepresentation
bin10110111101111001111010…
…10111011110111111001010
320121211021122121200012012200
423132330331113132333022
523104440331300000244
6255225532424221030
713431622416466641
oct1336747527367712
9217737577605180
1050505550000074
1115102313330804
1257b839260a776
13222486463cb60
14c686a597c358
155c8b72b3c669
hex2def3d5defca

50505550000074 has 96 divisors (see below), whose sum is σ = 119060888192064. Its totient is φ = 15380278099200.

The previous prime is 50505550000069. The next prime is 50505550000159. The reversal of 50505550000074 is 47000005550505.

It is a happy number.

50505550000074 is a `hidden beast` number, since 50 + 50 + 5 + 550 + 0 + 0 + 0 + 0 + 7 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 50505549999993 and 50505550000038.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25355302 + ... + 27274574.

It is an arithmetic number, because the mean of its divisors is an integer number (1240217585334).

Almost surely, 250505550000074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50505550000074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59530444096032).

50505550000074 is an abundant number, since it is smaller than the sum of its proper divisors (68555338191990).

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

50505550000074 is a wasteful number, since it uses less digits than its factorization.

50505550000074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920452 (or 1920449 counting only the distinct ones).

The product of its (nonzero) digits is 87500, while the sum is 36.

Adding to 50505550000074 its reverse (47000005550505), we get a palindrome (97505555550579).

The spelling of 50505550000074 in words is "fifty trillion, five hundred five billion, five hundred fifty million, seventy-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 39 78 107 117 214 234 321 642 963 1051 1391 1926 2102 2782 3153 4173 6306 8346 9459 12519 13663 18918 25038 27326 40989 81978 112457 122967 224914 245934 337371 674742 1012113 1461941 1919273 2024226 2923882 3838546 4385823 5757819 8771646 11515638 13157469 17273457 24950549 26314938 34546914 49901098 74851647 149703294 205362211 224554941 410724422 449109882 616086633 1232173266 1848259899 2017155923 2669708743 3696519798 4034311846 5339417486 6051467769 8009126229 12102935538 16018252458 18154403307 24027378687 26223026999 36308806614 48054757374 52446053998 78669080997 157338161994 215835683761 236007242991 431671367522 472014485982 647507051283 1295014102566 1942521153849 2805863888893 3885042307698 5611727777786 8417591666679 16835183333358 25252775000037 50505550000074