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52055672732082 = 23429311033470213
BaseRepresentation
bin10111101011000001001111…
…11000011011100110110010
320211022110210100001221020000
423311200213320123212302
523310340004204411312
6302414013530130430
713651620045351345
oct1365404770334662
9224273710057200
1052055672732082
111564a761194558
125a088a3580a16
132307aa1068766
14cbd717d6645c
1560414a521adc
hex2f5827e1b9b2

52055672732082 has 160 divisors (see below), whose sum is σ = 125767218170880. Its totient is φ = 16055699264640.

The previous prime is 52055672732069. The next prime is 52055672732131. The reversal of 52055672732082 is 28023727655025.

52055672732082 is a `hidden beast` number, since 5 + 2 + 0 + 5 + 567 + 2 + 73 + 2 + 0 + 8 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13265608 + ... + 16735820.

It is an arithmetic number, because the mean of its divisors is an integer number (786045113568).

Almost surely, 252055672732082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52055672732082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62883609085440).

52055672732082 is an abundant number, since it is smaller than the sum of its proper divisors (73711545438798).

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

52055672732082 is a wasteful number, since it uses less digits than its factorization.

52055672732082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470390 (or 3470381 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 52055672732082 in words is "fifty-two trillion, fifty-five billion, six hundred seventy-two million, seven hundred thirty-two thousand, eighty-two".

Divisors: 1 2 3 6 9 18 27 29 31 54 58 62 81 87 93 103 162 174 186 206 261 279 309 522 558 618 783 837 899 927 1566 1674 1798 1854 2349 2511 2697 2781 2987 3193 4698 5022 5394 5562 5974 6386 8091 8343 8961 9579 16182 16686 17922 19158 24273 26883 28737 48546 53766 57474 72819 80649 86211 92597 145638 161298 172422 185194 241947 258633 277791 483894 517266 555582 833373 1666746 2500119 3470213 5000238 6940426 7500357 10410639 15000714 20821278 31231917 62463834 93695751 100636177 107576603 187391502 201272354 215153206 281087253 301908531 322729809 357431939 562174506 603817062 645459618 714863878 905725593 968189427 1072295817 1811451186 1936378854 2144591634 2717176779 2904568281 3119721487 3216887451 5434353558 5809136562 6239442974 6433774902 8151530337 8713704843 9359164461 9650662353 10365526231 11080390109 16303060674 17427409686 18718328922 19301324706 20731052462 22160780218 28077493383 28951987059 31096578693 33241170327 56154986766 57903974118 62193157386 66482340654 84232480149 93289736079 99723510981 168464960298 186579472158 199447021962 252697440447 279869208237 299170532943 321331313161 505394880894 559738416474 598341065886 642662626322 839607624711 897511598829 963993939483 1679215249422 1795023197658 1927987878966 2891981818449 5783963636898 8675945455347 17351890910694 26027836366041 52055672732082