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7922958121 = 1324121672
BaseRepresentation
bin1110110000011111…
…01011111100101001
3202110011102222022101
413120033223330221
5112211234124441
63350104253401
7400224014161
oct73017537451
922404388271
107922958121
1133a6337781
121651471261
139935aa300
145523715a1
1531587d231
hex1d83ebf29

7922958121 has 27 divisors (see below), whose sum is σ = 8846624613. Its totient is φ = 7092396480.

The previous prime is 7922958091. The next prime is 7922958133. The reversal of 7922958121 is 1218592297.

The square root of 7922958121 is 89011.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5277296025 + 2645662096 = 72645^2 + 51436^2 .

It is not a de Polignac number, because 7922958121 - 213 = 7922949929 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7922958191) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 47442780 + ... + 47442946.

Almost surely, 27922958121 is an apocalyptic number.

7922958121 is the 89011-st square number.

7922958121 is the 44506-th centered octagonal number.

It is an amenable number.

7922958121 is a deficient number, since it is larger than the sum of its proper divisors (923666492).

7922958121 is an equidigital number, since it uses as much as digits as its factorization.

7922958121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 221 counting only the distinct ones).

The product of its digits is 181440, while the sum is 46.

The cubic root of 7922958121 is about 1993.5591232365.

The spelling of 7922958121 in words is "seven billion, nine hundred twenty-two million, nine hundred fifty-eight thousand, one hundred twenty-one".

Divisors: 1 13 41 167 169 533 1681 2171 6847 6929 21853 27889 28223 89011 280727 284089 362557 1143449 1157143 3649451 4713241 14864837 46881409 47442863 193242881 609458317 7922958121