Search a number
-
+
52386767664 = 24371134740847
BaseRepresentation
bin110000110010011111…
…101010001100110000
312000012220221112100020
4300302133222030300
51324242003031124
640022142123440
73533123115030
oct606237521460
9160186845306
1052386767664
1120242a67a10
12a1a0280580
134c2b3a479a
14276d7078c0
1515691a5379
hexc327ea330

52386767664 has 160 divisors (see below), whose sum is σ = 169216598016. Its totient is φ = 13567407360.

The previous prime is 52386767651. The next prime is 52386767683. The reversal of 52386767664 is 46676768325.

It is a junction number, because it is equal to n+sod(n) for n = 52386767598 and 52386767607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1262089 + ... + 1302935.

Almost surely, 252386767664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52386767664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84608299008).

52386767664 is an abundant number, since it is smaller than the sum of its proper divisors (116829830352).

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

52386767664 is a wasteful number, since it uses less digits than its factorization.

52386767664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41223 (or 41217 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 60.

The spelling of 52386767664 in words is "fifty-two billion, three hundred eighty-six million, seven hundred sixty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 347 462 528 616 694 924 1041 1232 1388 1848 2082 2429 2776 3696 3817 4164 4858 5552 7287 7634 8328 9716 11451 14574 15268 16656 19432 22902 26719 29148 30536 38864 40847 45804 53438 58296 61072 80157 81694 91608 106876 116592 122541 160314 163388 183216 213752 245082 285929 320628 326776 427504 449317 490164 571858 641256 653552 857787 898634 980328 1143716 1282512 1347951 1715574 1797268 1960656 2287432 2695902 3145219 3431148 3594536 4574864 5391804 6290438 6862296 7189072 9435657 10783608 12580876 13724592 14173909 18871314 21567216 25161752 28347818 37742628 42521727 50323504 56695636 75485256 85043454 99217363 113391272 150970512 155912999 170086908 198434726 226782544 297652089 311825998 340173816 396869452 467738997 595304178 623651996 680347632 793738904 935477994 1091390993 1190608356 1247303992 1587477808 1870955988 2182781986 2381216712 2494607984 3274172979 3741911976 4365563972 4762433424 6548345958 7483823952 8731127944 13096691916 17462255888 26193383832 52386767664