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107264110144 = 26409392
BaseRepresentation
bin110001111100101110…
…0000110111001000000
3101020212102100101001011
41203321130012321000
53224134103011034
6121135414050304
710515050615122
oct1437134067100
9336772311034
10107264110144
1141543880614
1218956649994
13a165758679
145297acb212
152bcbd23864
hex18f9706e40

107264110144 has 21 divisors (see below), whose sum is σ = 212857417947. Its totient is φ = 53630745024.

The previous prime is 107264110097. The next prime is 107264110147. The reversal of 107264110144 is 441011462701.

The square root of 107264110144 is 327512.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107264110147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2599627 + ... + 2640565.

Almost surely, 2107264110144 is an apocalyptic number.

107264110144 is the 327512-nd square number.

It is an amenable number.

107264110144 is a deficient number, since it is larger than the sum of its proper divisors (105593307803).

107264110144 is an frugal number, since it uses more digits than its factorization.

107264110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81890 (or 40941 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

Adding to 107264110144 its reverse (441011462701), we get a palindrome (548275572845).

The spelling of 107264110144 in words is "one hundred seven billion, two hundred sixty-four million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 40939 81878 163756 327512 655024 1310048 2620096 1676001721 3352003442 6704006884 13408013768 26816027536 53632055072 107264110144