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39349069956 = 22327247232
BaseRepresentation
bin100100101001011000…
…110010100010000100
310202120022012212100100
4210221120302202010
51121041330214311
630024323044100
72562051401400
oct445130624204
9122508185310
1039349069956
1115762584729
127761b10630
133931264161
141c93d68100
1510547a8a56
hex929632884

39349069956 has 81 divisors (see below), whose sum is σ = 115729506711. Its totient is φ = 11240211024.

The previous prime is 39349069927. The next prime is 39349069957. The reversal of 39349069956 is 65996094393.

The square root of 39349069956 is 198366.

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

39349069956 is a `hidden beast` number, since 3 + 9 + 3 + 490 + 6 + 99 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 39349069893 and 39349069902.

It is not an unprimeable number, because it can be changed into a prime (39349069957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8329011 + ... + 8333733.

Almost surely, 239349069956 is an apocalyptic number.

39349069956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

39349069956 is the 198366-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39349069956

39349069956 is an abundant number, since it is smaller than the sum of its proper divisors (76380436755).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

39349069956 is an equidigital number, since it uses as much as digits as its factorization.

39349069956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9470 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 42515280, while the sum is 63.

The spelling of 39349069956 in words is "thirty-nine billion, three hundred forty-nine million, sixty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 4723 9446 14169 18892 28338 33061 42507 56676 66122 85014 99183 132244 170028 198366 231427 297549 396732 462854 595098 694281 925708 1190196 1388562 2082843 2777124 4165686 8331372 22306729 44613458 66920187 89226916 133840374 156147103 200760561 267680748 312294206 401521122 468441309 624588412 803042244 936882618 1093029721 1405323927 1873765236 2186059442 2810647854 3279089163 4372118884 5621295708 6558178326 9837267489 13116356652 19674534978 39349069956