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12027383029393 = 349205316786369
BaseRepresentation
bin1010111100000101011111…
…1001001001111010010001
31120120210210000002010101021
42233001113321021322101
53034024040023420033
641325145315235441
72350643522636314
oct257012771117221
946523700063337
1012027383029393
11391786a192106
121422ba22a8b81
1369323c84c464
142d81b264897b
1515ccd6e15b2d
hexaf057e49e91

12027383029393 has 8 divisors (see below), whose sum is σ = 12067721393000. Its totient is φ = 11987078243328.

The previous prime is 12027383029301. The next prime is 12027383029421. The reversal of 12027383029393 is 39392038372021.

It can be written as a sum of positive squares in 4 ways, for example, as 6068452876929 + 5958930152464 = 2463423^2 + 2441092^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12027383029393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12027383029393.

It is not an unprimeable number, because it can be changed into a prime (12027383023393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7676688 + ... + 9109681.

It is an arithmetic number, because the mean of its divisors is an integer number (1508465174125).

Almost surely, 212027383029393 is an apocalyptic number.

It is an amenable number.

12027383029393 is a deficient number, since it is larger than the sum of its proper divisors (40338363607).

12027383029393 is a wasteful number, since it uses less digits than its factorization.

12027383029393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16788771.

The product of its (nonzero) digits is 2939328, while the sum is 52.

The spelling of 12027383029393 in words is "twelve trillion, twenty-seven billion, three hundred eighty-three million, twenty-nine thousand, three hundred ninety-three".

Divisors: 1 349 2053 716497 16786369 5858442781 34462415557 12027383029393