Search a number
-
+
806047372125 = 365313167523
BaseRepresentation
bin10111011101011000010…
…10101101001101011101
32212001112211100002000000
423232230022231031131
5101201241111402000
61414143144324513
7112143414421362
oct13565412551535
92761484302000
10806047372125
1129092a8009a6
12110273773739
135b018ac0688
142b027586469
1515e79186000
hexbbac2ad35d

806047372125 has 112 divisors (see below), whose sum is σ = 1519766449344. Its totient is φ = 426603996000.

The previous prime is 806047372121. The next prime is 806047372129. The reversal of 806047372125 is 521273740608.

806047372125 is a `hidden beast` number, since 8 + 0 + 604 + 7 + 37 + 2 + 1 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (806047372121) and next prime (806047372129).

It is not a de Polignac number, because 806047372125 - 22 = 806047372121 is a prime.

It is a super-2 number, since 2×8060473721252 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806047372121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11903614 + ... + 11971136.

Almost surely, 2806047372125 is an apocalyptic number.

It is an amenable number.

806047372125 is a deficient number, since it is larger than the sum of its proper divisors (713719077219).

806047372125 is an equidigital number, since it uses as much as digits as its factorization.

806047372125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67687 (or 67662 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 806047372125 in words is "eight hundred six billion, forty-seven million, three hundred seventy-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 131 135 225 243 375 393 405 655 675 729 1125 1179 1215 1965 2025 3275 3375 3537 3645 5895 6075 9825 10125 10611 16375 17685 18225 29475 30375 31833 49125 53055 67523 88425 91125 95499 147375 159165 202569 265275 337615 442125 477495 607707 795825 1012845 1326375 1688075 1823121 2387475 3038535 3979125 5064225 5469363 8440375 8845513 9115605 11937375 15192675 16408089 25321125 26536539 27346815 44227565 45578025 49224267 75963375 79609617 82040445 132682695 136734075 221137825 227890125 238828851 246121335 398048085 410202225 663413475 683670375 716486553 1105689125 1194144255 1230606675 1990240425 2051011125 2149459659 3317067375 3582432765 5970721275 6153033375 6448378977 9951202125 10747298295 17912163825 29853606375 32241894885 53736491475 89560819125 161209474425 268682457375 806047372125