Search a number
-
+
7006522125 = 353433891117
BaseRepresentation
bin1101000011001111…
…10000101100001101
3200002022000012110110
412201213300230031
5103322132202000
63115130030233
7335425312131
oct64147605415
920068005413
107006522125
112a75aa9859
121436578379
1387877a7a5
144a67773c1
152b01a6850
hex1a19f0b0d

7006522125 has 64 divisors (see below), whose sum is σ = 11971365120. Its totient is φ = 3637267200.

The previous prime is 7006522121. The next prime is 7006522129. The reversal of 7006522125 is 5212256007.

It is an interprime number because it is at equal distance from previous prime (7006522121) and next prime (7006522129).

It is not a de Polignac number, because 7006522125 - 22 = 7006522121 is a prime.

It is a super-2 number, since 2×70065221252 = 98182704576229031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7006522092 and 7006522101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7006522121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6272067 + ... + 6273183.

It is an arithmetic number, because the mean of its divisors is an integer number (187052580).

Almost surely, 27006522125 is an apocalyptic number.

7006522125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7006522125 is a deficient number, since it is larger than the sum of its proper divisors (4964842995).

7006522125 is a wasteful number, since it uses less digits than its factorization.

7006522125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 7006522125 is about 83704.9707305367. The cubic root of 7006522125 is about 1913.5251115064.

The spelling of 7006522125 in words is "seven billion, six million, five hundred twenty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 43 75 125 129 215 375 389 645 1075 1117 1167 1945 3225 3351 5375 5585 5835 9725 16125 16727 16755 27925 29175 48031 48625 50181 83635 83775 139625 144093 145875 240155 250905 418175 418875 434513 720465 1200775 1254525 1303539 2090875 2172565 3602325 6003875 6272625 6517695 10862825 18011625 18684059 32588475 54314125 56052177 93420295 162942375 280260885 467101475 1401304425 2335507375 7006522125