Search a number
-
+
32130361353632 = 25173110357183959
BaseRepresentation
bin1110100111000111011101…
…10001100110010110100000
311012202122002010102112001212
413103203232301212112200
513202410440001304012
6152200252332245252
76524225210203613
oct723435661462640
9135678063375055
1032130361353632
11a268456390333
12372b0b5010828
1314c0b596a8059
147d11912ca17a
153aabb76e7b22
hex1d38eec665a0

32130361353632 has 96 divisors (see below), whose sum is σ = 69145248291840. Its totient is φ = 14630930288640.

The previous prime is 32130361353613. The next prime is 32130361353661. The reversal of 32130361353632 is 23635316303123.

It is a self number, because there is not a number n which added to its sum of digits gives 32130361353632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174568469 + ... + 174752427.

It is an arithmetic number, because the mean of its divisors is an integer number (720263003040).

Almost surely, 232130361353632 is an apocalyptic number.

32130361353632 is a gapful number since it is divisible by the number (32) 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 32130361353632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34572624145920).

32130361353632 is an abundant number, since it is smaller than the sum of its proper divisors (37014886938208).

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

32130361353632 is a wasteful number, since it uses less digits than its factorization.

32130361353632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194374 (or 194366 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 41.

Adding to 32130361353632 its reverse (23635316303123), we get a palindrome (55765677656755).

The spelling of 32130361353632 in words is "thirty-two trillion, one hundred thirty billion, three hundred sixty-one million, three hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 496 527 544 992 1054 2108 4216 8432 10357 16864 20714 41428 82856 165712 176069 183959 321067 331424 352138 367918 642134 704276 735836 1284268 1408552 1471672 2568536 2817104 2943344 3127303 5137072 5458139 5634208 5702729 5886688 6254606 10274144 10916278 11405458 12509212 21832556 22810916 25018424 43665112 45621832 50036848 87330224 91243664 96946393 100073696 174660448 182487328 193892786 387785572 775571144 1551142288 1905263363 3102284576 3810526726 7621053452 15242106904 30484213808 32389477171 59063164253 60968427616 64778954342 118126328506 129557908684 236252657012 259115817368 472505314024 518231634736 945010628048 1004073792301 1036463269472 1890021256096 2008147584602 4016295169204 8032590338408 16065180676816 32130361353632