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52393443102 = 232711213264349
BaseRepresentation
bin110000110010111001…
…000111111100011110
312000020101111200022200
4300302321013330132
51324300210134402
640022541152330
73533233626660
oct606271077436
9160211450280
1052393443102
1120246807300
12a1a255b6a6
134c2c8a1050
142770564530
151569a7321c
hexc32e47f1e

52393443102 has 144 divisors (see below), whose sum is σ = 153572546400. Its totient is φ = 12561816960.

The previous prime is 52393443071. The next prime is 52393443119. The reversal of 52393443102 is 20134439325.

52393443102 is a `hidden beast` number, since 5 + 23 + 93 + 443 + 102 = 666.

It is a super-2 number, since 2×523934431022 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66024 + ... + 330372.

Almost surely, 252393443102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52393443102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76786273200).

52393443102 is an abundant number, since it is smaller than the sum of its proper divisors (101179103298).

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

52393443102 is a wasteful number, since it uses less digits than its factorization.

52393443102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264399 (or 264385 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 52393443102 in words is "fifty-two billion, three hundred ninety-three million, four hundred forty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 121 126 143 154 182 198 231 234 242 273 286 363 429 462 546 693 726 819 847 858 1001 1089 1287 1386 1573 1638 1694 2002 2178 2541 2574 3003 3146 4719 5082 6006 7623 9009 9438 11011 14157 15246 18018 22022 28314 33033 66066 99099 198198 264349 528698 793047 1586094 1850443 2379141 2907839 3436537 3700886 4758282 5551329 5815678 6873074 8723517 10309611 11102658 16653987 17447034 20354873 20619222 24055759 26170551 30928833 31986229 33307974 37801907 40709746 48111518 52341102 61064619 61857666 63972458 72167277 75603814 95958687 113405721 122129238 144334554 183193857 191917374 216501831 223903603 226811442 264613349 287876061 340217163 366387714 415820977 433003662 447807206 529226698 575752122 671710809 680434326 793840047 831641954 1247462931 1343421618 1587680094 2015132427 2381520141 2494925862 2910746839 3742388793 4030264854 4763040282 5821493678 7484777586 8732240517 17464481034 26196721551 52393443102