Search a number
-
+
20152550601333 = 32294331097162553
BaseRepresentation
bin1001001010100001000011…
…00111101011001001110101
32122100120020220022222210100
410211100201213223021311
510120134410423220313
6110505542014544313
74146654663522423
oct445204147531165
978316226288710
1020152550601333
11646a715490777
122315848508099
13b324ba0cb647
144d9562672113
1524e332839173
hex1254219eb275

20152550601333 has 48 divisors (see below), whose sum is σ = 30210251263920. Its totient is φ = 12929921851392.

The previous prime is 20152550601277. The next prime is 20152550601377. The reversal of 20152550601333 is 33310605525102.

20152550601333 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 2 + 550 + 60 + 13 + 33 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 35011274769 + 20117539326564 = 187113^2 + 4485258^2 .

It is not a de Polignac number, because 20152550601333 - 26 = 20152550601269 is a prime.

It is a super-2 number, since 2×201525506013332 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20152550606333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123893985 + ... + 124056537.

It is an arithmetic number, because the mean of its divisors is an integer number (629380234665).

Almost surely, 220152550601333 is an apocalyptic number.

It is an amenable number.

20152550601333 is a deficient number, since it is larger than the sum of its proper divisors (10057700662587).

20152550601333 is a wasteful number, since it uses less digits than its factorization.

20152550601333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164118 (or 164115 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 20152550601333 in words is "twenty trillion, one hundred fifty-two billion, five hundred fifty million, six hundred one thousand, three hundred thirty-three".

Divisors: 1 3 9 29 87 261 433 1097 1299 3291 3897 9873 12557 31813 37671 95439 113013 162553 286317 475001 487659 1425003 1462977 4275009 4714037 13775029 14142111 41325087 42426333 70385449 123975261 178320641 211156347 534961923 633469041 1604885769 2041178021 5171298589 6123534063 15513895767 18370602189 46541687301 77212837553 231638512659 694915537977 2239172289037 6717516867111 20152550601333