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52546052312 = 231337412711229
BaseRepresentation
bin110000111011111111…
…010010000011011000
312000122000200000210122
4300323333102003120
51330103242133222
640050032132412
73540066034535
oct607377220330
9160560600718
1052546052312
1120314970916
12a225697108
134c553a4760
14278692bd8c
15157816aa42
hexc3bfd20d8

52546052312 has 128 divisors (see below), whose sum is σ = 112131129600. Its totient is φ = 22917427200.

The previous prime is 52546052309. The next prime is 52546052323. The reversal of 52546052312 is 21325064525.

It is a super-2 number, since 2×525460523122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42754514 + ... + 42755742.

It is an arithmetic number, because the mean of its divisors is an integer number (876024450).

Almost surely, 252546052312 is an apocalyptic number.

52546052312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52546052312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56065564800).

52546052312 is an abundant number, since it is smaller than the sum of its proper divisors (59585077288).

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

52546052312 is a wasteful number, since it uses less digits than its factorization.

52546052312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 52546052312 in words is "fifty-two billion, five hundred forty-six million, fifty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 37 41 52 74 82 104 148 164 271 296 328 481 533 542 962 1066 1084 1229 1517 1924 2132 2168 2458 3034 3523 3848 4264 4916 6068 7046 9832 10027 11111 12136 14092 15977 19721 20054 22222 28184 31954 39442 40108 44444 45473 50389 63908 78884 80216 88888 90946 100778 127816 130351 144443 157768 181892 201556 260702 288886 333059 363784 403112 411107 521404 577772 591149 655057 666118 822214 1042808 1155544 1182298 1310114 1332236 1644428 1864393 2364596 2620228 2664472 3288856 3728786 4329767 4729192 5240456 5344391 7457572 8659534 10688782 12323183 13655419 14915144 17319068 21377564 24237109 24646366 27310838 34638136 42755128 48474218 49292732 54621676 96948436 98585464 109243352 160201379 177520447 193896872 320402758 355040894 505250503 640805516 710081788 1010501006 1281611032 1420163576 2021002012 4042004024 6568256539 13136513078 26273026156 52546052312