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1152007066145 = 513101327676323
BaseRepresentation
bin10000110000111000111…
…110001101001000100001
311002010112100112110111202
4100300320332031020201
5122333302302104040
62241120313250545
7146141544332045
oct20607076151041
94063470473452
101152007066145
11404621a575a1
12167324a03a55
13848315c76b0
143da865b2025
151ee76652015
hex10c38f8d221

1152007066145 has 32 divisors (see below), whose sum is σ = 1490991570432. Its totient is φ = 849431607552.

The previous prime is 1152007066141. The next prime is 1152007066151. The reversal of 1152007066145 is 5416607002511.

It is a cyclic number.

It is not a de Polignac number, because 1152007066145 - 22 = 1152007066141 is a prime.

It is a super-2 number, since 2×11520070661452 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1152007066099 and 1152007066108.

It is not an unprimeable number, because it can be changed into a prime (1152007066141) 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 31 ways as a sum of consecutive naturals, for example, 182189954 + ... + 182196276.

It is an arithmetic number, because the mean of its divisors is an integer number (46593486576).

Almost surely, 21152007066145 is an apocalyptic number.

It is an amenable number.

1152007066145 is a deficient number, since it is larger than the sum of its proper divisors (338984504287).

1152007066145 is a wasteful number, since it uses less digits than its factorization.

1152007066145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10121.

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 1152007066145 in words is "one trillion, one hundred fifty-two billion, seven million, sixty-six thousand, one hundred forty-five".

Divisors: 1 5 13 65 1013 2767 5065 6323 13169 13835 31615 35971 65845 82199 179855 410995 2802971 6405199 14014855 17495741 32025995 36438623 83267587 87478705 182193115 227444633 416337935 1137223165 17723185633 88615928165 230401413229 1152007066145