Search a number
-
+
1813407515145 = 325831732806459
BaseRepresentation
bin11010011000110111100…
…000101100001000001001
320102100201111011111121200
4122120313200230020021
5214202324310441040
63505022400254413
7245004633360342
oct32306740541011
96370644144550
101813407515145
1163a0752a3216
1225354a611409
13102007b8a015
1463aab2d70c9
1532286b55630
hex1a63782c209

1813407515145 has 48 divisors (see below), whose sum is σ = 3199499110080. Its totient is φ = 949974807168.

The previous prime is 1813407515141. The next prime is 1813407515147. The reversal of 1813407515145 is 5415157043181.

1813407515145 is a `hidden beast` number, since 1 + 81 + 3 + 4 + 0 + 7 + 51 + 514 + 5 = 666.

It is not a de Polignac number, because 1813407515145 - 22 = 1813407515141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1813407515145.

It is not an unprimeable number, because it can be changed into a prime (1813407515141) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 757075 + ... + 2049384.

It is an arithmetic number, because the mean of its divisors is an integer number (66656231460).

Almost surely, 21813407515145 is an apocalyptic number.

1813407515145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1813407515145 is a deficient number, since it is larger than the sum of its proper divisors (1386091594935).

1813407515145 is a wasteful number, since it uses less digits than its factorization.

1813407515145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806726 (or 2806723 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 1813407515145 in words is "one trillion, eight hundred thirteen billion, four hundred seven million, five hundred fifteen thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 83 173 249 415 519 747 865 1245 1557 2595 3735 7785 14359 43077 71795 129231 215385 646155 2806459 8419377 14032295 25258131 42096885 126290655 232936097 485517407 698808291 1164680485 1456552221 2096424873 2427587035 3494041455 4369656663 7282761105 10482124365 21848283315 40297944781 120893834343 201489723905 362681503029 604469171715 1813407515145