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11145164361265 = 5111274393634591
BaseRepresentation
bin1010001000101110111110…
…0100000000111000110001
31110110110121200000021220001
42202023233210000320301
52430100244034030030
635412003503350001
72230132363662424
oct242135744007061
943413550007801
1011145164361265
113607701801110
121300010bb2301
1362aca4c014cc
142a7600a0b9bb
15144da099bcca
hexa22ef900e31

11145164361265 has 32 divisors (see below), whose sum is σ = 14738415943680. Its totient is φ = 8023430116800.

The previous prime is 11145164361263. The next prime is 11145164361277. The reversal of 11145164361265 is 56216346154111.

It is a happy number.

It is not a de Polignac number, because 11145164361265 - 21 = 11145164361263 is a prime.

It is a super-2 number, since 2×111451643612652 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11145164361263) 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 31 ways as a sum of consecutive naturals, for example, 1249120 + ... + 4883710.

It is an arithmetic number, because the mean of its divisors is an integer number (460575498240).

Almost surely, 211145164361265 is an apocalyptic number.

It is an amenable number.

11145164361265 is a deficient number, since it is larger than the sum of its proper divisors (3593251582415).

11145164361265 is a wasteful number, since it uses less digits than its factorization.

11145164361265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635173.

The product of its digits is 518400, while the sum is 46.

The spelling of 11145164361265 in words is "eleven trillion, one hundred forty-five billion, one hundred sixty-four million, three hundred sixty-one thousand, two hundred sixty-five".

Divisors: 1 5 11 55 127 439 635 1397 2195 4829 6985 24145 55753 278765 613283 3066415 3634591 18172955 39980501 199902505 461593057 1595585449 2307965285 5077523627 7977927245 17551439939 25387618135 87757199695 202639352023 1013196760115 2229032872253 11145164361265