Search a number
-
+
132500005636122 = 232101719343329527
BaseRepresentation
bin11110001000001000001111…
…110001001100100000011010
3122101010212200012200012021200
4132020020033301030200122
5114331340002420323442
61145445355015015030
736623544442042065
oct3610101761144032
9571125605605250
10132500005636122
1139244a33a05a63
1212a3b47b96a476
1358c190a18b7b7
1424a106a8db8dc
15104b96891e34c
hex78820fc4c81a

132500005636122 has 96 divisors (see below), whose sum is σ = 290423395192320. Its totient is φ = 43654356345600.

The previous prime is 132500005636051. The next prime is 132500005636123. The reversal of 132500005636122 is 221636500005231.

132500005636122 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 0 + 0 + 0 + 0 + 5 + 636 + 12 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (132500005636123) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4487403723 + ... + 4487433249.

It is an arithmetic number, because the mean of its divisors is an integer number (3025243699920).

Almost surely, 2132500005636122 is an apocalyptic number.

132500005636122 is an abundant number, since it is smaller than the sum of its proper divisors (157923389556198).

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

132500005636122 is a wasteful number, since it uses less digits than its factorization.

132500005636122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33788 (or 33785 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 132500005636122 in words is "one hundred thirty-two trillion, five hundred billion, five million, six hundred thirty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 101 202 303 606 719 909 1438 1818 2157 3433 4314 6471 6866 10299 12942 20598 29527 30897 59054 61794 72619 88581 145238 177162 217857 265743 346733 435714 531486 653571 693466 1040199 1307142 2080398 2468327 2982227 3120597 4936654 5964454 6241194 7404981 8946681 14809962 17893362 21229913 22214943 26840043 42459826 44429886 53680086 63689739 101366191 127379478 191069217 202732382 249301027 304098573 382138434 498602054 608197146 747903081 912295719 1495806162 1824591438 2144221213 2243709243 4288442426 4487418486 6432663639 10237985291 12865327278 19297990917 20475970582 30713955873 38595981834 61427911746 72882291329 92141867619 145764582658 184283735238 218646873987 437293747974 655940621961 1311881243922 7361111424229 14722222848458 22083334272687 44166668545374 66250002818061 132500005636122