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1058972993 = 13176178553
BaseRepresentation
bin111111000111101…
…010010101000001
32201210122101211222
4333013222111001
54132044113433
6253025244425
735146056551
oct7707522501
92653571758
101058972993
114a38430a1
12256793715
1313b517850
14a08dd161
1562e7eb98
hex3f1ea541

1058972993 has 16 divisors (see below), whose sum is σ = 1227327696. Its totient is φ = 904919040.

The previous prime is 1058972987. The next prime is 1058973011. The reversal of 1058972993 is 3992798501.

It can be written as a sum of positive squares in 8 ways, for example, as 315701824 + 743271169 = 17768^2 + 27263^2 .

It is a cyclic number.

It is not a de Polignac number, because 1058972993 - 228 = 790537537 is a prime.

It is a super-2 number, since 2×10589729932 = 2242847599806756098, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1058972983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25796 + ... + 52757.

It is an arithmetic number, because the mean of its divisors is an integer number (76707981).

Almost surely, 21058972993 is an apocalyptic number.

1058972993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1058972993 is a deficient number, since it is larger than the sum of its proper divisors (168354703).

1058972993 is a wasteful number, since it uses less digits than its factorization.

1058972993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78644.

The product of its (nonzero) digits is 1224720, while the sum is 53.

The square root of 1058972993 is about 32541.8652354164. The cubic root of 1058972993 is about 1019.2834237198.

The spelling of 1058972993 in words is "one billion, fifty-eight million, nine hundred seventy-two thousand, nine hundred ninety-three".

Divisors: 1 13 17 61 221 793 1037 13481 78553 1021189 1335401 4791733 17360213 62292529 81459461 1058972993