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107194552325 = 5272733373557
BaseRepresentation
bin110001111010101001…
…0110001000000000101
3101020200120110110122122
41203311102301000011
53224013301133300
6121124451135325
710513244442500
oct1436522610005
9336616413578
10107194552325
1141508591813
12189372a4545
13a1542131b3
14528c782137
152bc5b83c85
hex18f54b1005

107194552325 has 72 divisors (see below), whose sum is σ = 157250093832. Its totient is φ = 72262471680.

The previous prime is 107194552303. The next prime is 107194552343. The reversal of 107194552325 is 523255491701.

It can be written as a sum of positive squares in 12 ways, for example, as 58827106849 + 48367445476 = 242543^2 + 219926^2 .

It is not a de Polignac number, because 107194552325 - 210 = 107194551301 is a prime.

It is a super-2 number, since 2×1071945523252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30134447 + ... + 30138003.

It is an arithmetic number, because the mean of its divisors is an integer number (2184029081).

Almost surely, 2107194552325 is an apocalyptic number.

It is an amenable number.

107194552325 is a deficient number, since it is larger than the sum of its proper divisors (50055541507).

107194552325 is a wasteful number, since it uses less digits than its factorization.

107194552325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 44.

The spelling of 107194552325 in words is "one hundred seven billion, one hundred ninety-four million, five hundred fifty-two thousand, three hundred twenty-five".

Divisors: 1 5 7 25 35 49 73 175 245 337 365 511 1225 1685 1825 2359 2555 3557 3577 8425 11795 12775 16513 17785 17885 24601 24899 58975 82565 88925 89425 123005 124495 172207 174293 259661 412825 615025 622475 861035 871465 1198709 1205449 1298305 1817627 4305175 4357325 5993545 6027245 6491525 8390963 9088135 12723389 29967725 30136225 41954815 45440675 58736741 63616945 87505757 209774075 293683705 318084725 437528785 612540299 1468418525 2187643925 3062701495 4287782093 15313507475 21438910465 107194552325