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52315583076 = 22349721312
BaseRepresentation
bin110000101110010000…
…000111001001100100
312000000221222222110000
4300232100013021210
51324120242124301
640011120301300
73531300055551
oct605620071144
9160027888400
1052315583076
1120206867979
12a180471830
134c1970ca23
142764097a28
151562ce3786
hexc2e407264

52315583076 has 135 divisors (see below), whose sum is σ = 139250654697. Its totient is φ = 17127002880.

The previous prime is 52315583057. The next prime is 52315583077. The reversal of 52315583076 is 67038551325.

The square root of 52315583076 is 228726.

It is a perfect power (a square), and thus also a powerful number.

52315583076 is a `hidden beast` number, since 5 + 23 + 1 + 558 + 3 + 0 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23491692900 + 28823890176 = 153270^2 + 169776^2 .

It is not an unprimeable number, because it can be changed into a prime (52315583077) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 399355531 + ... + 399355661.

Almost surely, 252315583076 is an apocalyptic number.

52315583076 is the 228726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52315583076

52315583076 is an abundant number, since it is smaller than the sum of its proper divisors (86935071621).

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

52315583076 is an equidigital number, since it uses as much as digits as its factorization.

52315583076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 52315583076 in words is "fifty-two billion, three hundred fifteen million, five hundred eighty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 131 162 194 262 291 324 388 393 524 582 786 873 1164 1179 1572 1746 2358 2619 3492 3537 4716 5238 7074 7857 9409 10476 10611 12707 14148 15714 17161 18818 21222 25414 28227 31428 34322 37636 38121 42444 50828 51483 56454 68644 76242 84681 102966 112908 114363 152484 154449 169362 205932 228726 254043 308898 338724 343089 457452 463347 508086 617796 686178 762129 926694 1016172 1029267 1232579 1372356 1390041 1524258 1664617 1853388 2058534 2465158 2780082 3048516 3329234 3697737 4117068 4930316 4993851 5560164 6658468 7395474 9987702 11093211 14790948 14981553 19975404 22186422 29963106 33279633 44372844 44944659 59926212 66559266 89889318 99838899 133118532 134833977 161467849 179778636 199677798 269667954 322935698 399355596 484403547 539335908 645871396 968807094 1453210641 1937614188 2906421282 4359631923 5812842564 8719263846 13078895769 17438527692 26157791538 52315583076