Search a number
-
+
32152150660 = 22572177326437
BaseRepresentation
bin11101111100011010…
…101110001010000100
310001222201221111001211
4131330122232022010
51011321422310120
622434232101204
72215521525400
oct357432561204
9101881844054
1032152150660
11126aa061743
126293834804
133055212226
1417b01cc100
15c82a4325a
hex77c6ae284

32152150660 has 144 divisors (see below), whose sum is σ = 84305705904. Its totient is φ = 10232635392.

The previous prime is 32152150637. The next prime is 32152150673. The reversal of 32152150660 is 6605125123.

It can be written as a sum of positive squares in 8 ways, for example, as 2677441536 + 29474709124 = 51744^2 + 171682^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1202962 + ... + 1229398.

It is an arithmetic number, because the mean of its divisors is an integer number (585456291).

Almost surely, 232152150660 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 32152150660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42152852952).

32152150660 is an abundant number, since it is smaller than the sum of its proper divisors (52153555244).

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

32152150660 is a wasteful number, since it uses less digits than its factorization.

32152150660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26550 (or 26541 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 32152150660 its reverse (6605125123), we get a palindrome (38757275783).

The spelling of 32152150660 in words is "thirty-two billion, one hundred fifty-two million, one hundred fifty thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 73 85 98 119 140 146 170 196 238 245 292 340 365 476 490 511 595 730 833 980 1022 1190 1241 1460 1666 2044 2380 2482 2555 3332 3577 4165 4964 5110 6205 7154 8330 8687 10220 12410 14308 16660 17374 17885 24820 26437 34748 35770 43435 52874 60809 71540 86870 105748 121618 132185 173740 185059 243236 264370 304045 370118 449429 528740 608090 740236 898858 925295 1216180 1295413 1797716 1850590 1929901 2247145 2590826 3146003 3701180 3859802 4494290 5181652 6292006 6477065 7719604 8988580 9649505 12584012 12954130 13509307 15730015 19299010 22022021 25908260 27018614 31460030 32808317 38598020 44044042 54037228 62920060 65616634 67546535 88088084 94565149 110110105 131233268 135093070 164041585 189130298 220220210 229658219 270186140 328083170 378260596 440440420 459316438 472825745 656166340 918632876 945651490 1148291095 1607607533 1891302980 2296582190 3215215066 4593164380 6430430132 8038037665 16076075330 32152150660