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1090349162077 = 7113239730727
BaseRepresentation
bin11111101110111011101…
…11111101111001011101
310212020101022022101221011
433313131313331321131
5120331013341141302
62152522142335221
7141526603646560
oct17673567757135
93766338271834
101090349162077
1139046174968a
1215739788a511
137ba8653c7a6
143aab78744d7
151d5685b35d7
hexfddddfde5d

1090349162077 has 24 divisors (see below), whose sum is σ = 1260446335616. Its totient is φ = 923950976256.

The previous prime is 1090349162053. The next prime is 1090349162093. The reversal of 1090349162077 is 7702619430901.

It is a de Polignac number, because none of the positive numbers 2k-1090349162077 is a prime.

It is a super-2 number, since 2×10903491620772 (a number of 25 digits) contains 22 as substring.

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 1090349162077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090349162377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35469688 + ... + 35500414.

Almost surely, 21090349162077 is an apocalyptic number.

It is an amenable number.

1090349162077 is a deficient number, since it is larger than the sum of its proper divisors (170097173539).

1090349162077 is an equidigital number, since it uses as much as digits as its factorization.

1090349162077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31357 (or 31244 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

The spelling of 1090349162077 in words is "one trillion, ninety billion, three hundred forty-nine million, one hundred sixty-two thousand, seventy-seven".

Divisors: 1 7 113 397 791 2779 12769 30727 44861 89383 215089 314027 3472151 5069293 12198619 24305057 35485051 85390333 392353063 1378443947 2746471441 9649107629 155764166011 1090349162077