Search a number
-
+
52054177530762 = 232111732994687693
BaseRepresentation
bin10111101010111110011101…
…10000101100001110001010
320211022022221010120211121100
423311133032300230032022
523310323423421441022
6302413205314522230
713651535021351001
oct1365371660541612
9224268833524540
1052054177530762
111564a064191690
125a08546896376
1323078c3366754
14cbd615551c38
156040ae1241ac
hex2f57cec2c38a

52054177530762 has 96 divisors (see below), whose sum is σ = 130314143044800. Its totient is φ = 14841607887360.

The previous prime is 52054177530757. The next prime is 52054177530799. The reversal of 52054177530762 is 26703577145025.

52054177530762 is a `hidden beast` number, since 5 + 2 + 0 + 5 + 41 + 7 + 7 + 530 + 7 + 62 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 52054177530699 and 52054177530708.

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, 8760588 + ... + 13448280.

It is an arithmetic number, because the mean of its divisors is an integer number (1357438990050).

Almost surely, 252054177530762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52054177530762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65157071522400).

52054177530762 is an abundant number, since it is smaller than the sum of its proper divisors (78259965514038).

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

52054177530762 is a wasteful number, since it uses less digits than its factorization.

52054177530762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4691028 (or 4691025 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 52054177530762 in words is "fifty-two trillion, fifty-four billion, one hundred seventy-seven million, five hundred thirty thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3299 3366 6598 9897 19794 29691 36289 56083 59382 72578 108867 112166 168249 217734 326601 336498 504747 616913 653202 1009494 1233826 1850739 3701478 4687693 5552217 9375386 11104434 14063079 28126158 42189237 51564623 79690781 84378474 103129246 154693869 159381562 239072343 309387738 464081607 478144686 717217029 876598591 928163214 1434434058 1753197182 2629795773 5259591546 7889387319 15464699207 15778774638 30929398414 46394097621 92788195242 139182292863 170111691277 262899886519 278364585726 340223382554 510335073831 525799773038 788699659557 1020670147662 1531005221493 1577399319114 2366098978671 2891898751709 3062010442986 4732197957342 5783797503418 8675696255127 17351392510254 26027088765381 52054177530762