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8131820025 = 352731618191
BaseRepresentation
bin1111001001011000…
…11011100111111001
3202222201110020222110
413210230123213321
5113123221220100
63422525042533
7405341221050
oct74454334771
922881406873
108131820025
1134a322281a
1216ab3b6449
139c7948134
14571dbd397
15328d88250
hex1e4b1b9f9

8131820025 has 96 divisors (see below), whose sum is σ = 16122904576. Its totient is φ = 3538080000.

The previous prime is 8131819859. The next prime is 8131820029. The reversal of 8131820025 is 5200281318.

It is not a de Polignac number, because 8131820025 - 29 = 8131819513 is a prime.

It is a super-2 number, since 2×81318200252 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8131819974 and 8131820001.

It is not an unprimeable number, because it can be changed into a prime (8131820029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 988680 + ... + 996870.

Almost surely, 28131820025 is an apocalyptic number.

It is an amenable number.

8131820025 is a deficient number, since it is larger than the sum of its proper divisors (7991084551).

8131820025 is a wasteful number, since it uses less digits than its factorization.

8131820025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8303 (or 8298 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 8131820025 is about 90176.6046433331. The cubic root of 8131820025 is about 2010.9252132711.

The spelling of 8131820025 in words is "eight billion, one hundred thirty-one million, eight hundred twenty thousand, twenty-five".

Divisors: 1 3 5 7 15 21 25 31 35 61 75 93 105 155 175 183 217 305 427 465 525 651 775 915 1085 1281 1525 1891 2135 2325 3255 4575 5425 5673 6405 8191 9455 10675 13237 16275 24573 28365 32025 39711 40955 47275 57337 66185 122865 141825 172011 198555 204775 253921 286685 330925 499651 614325 761763 860055 992775 1269605 1433425 1498953 1777447 2498255 3497557 3808815 4300275 5332341 6348025 7494765 8887235 10492671 12491275 15489181 17487785 19044075 26661705 37473825 44436175 46467543 52463355 77445905 87438925 108424267 133308525 232337715 262316775 325272801 387229525 542121335 1161688575 1626364005 2710606675 8131820025