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31028164993 = 72943367129
BaseRepresentation
bin11100111001011011…
…000011100110000001
32222002101222002121001
4130321123003212001
51002021202234433
622130521132001
72145623023300
oct347133034601
988071862531
1031028164993
1112182654671
12601b32a001
132c063b3c57
141704c08437
15c1902057d
hex7396c3981

31028164993 has 12 divisors (see below), whose sum is σ = 36098351940. Its totient is φ = 26592354432.

The previous prime is 31028164949. The next prime is 31028165027. The reversal of 31028164993 is 39946182013.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21534975504 + 9493189489 = 146748^2 + 97433^2 .

It is not a de Polignac number, because 31028164993 - 217 = 31028033921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31028164903) 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 11 ways as a sum of consecutive naturals, for example, 428653 + ... + 495781.

It is an arithmetic number, because the mean of its divisors is an integer number (3008195995).

Almost surely, 231028164993 is an apocalyptic number.

It is an amenable number.

31028164993 is a deficient number, since it is larger than the sum of its proper divisors (5070186947).

31028164993 is an equidigital number, since it uses as much as digits as its factorization.

31028164993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76576 (or 76569 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 31028164993 in words is "thirty-one billion, twenty-eight million, one hundred sixty-four thousand, nine hundred ninety-three".

Divisors: 1 7 49 9433 66031 67129 462217 469903 3289321 633227857 4432594999 31028164993