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10742412168 = 2332374032437
BaseRepresentation
bin10100000000100110…
…00011001110001000
31000201122202002011100
422000103003032020
5134000024142133
64533543101400
7530130665625
oct120023031610
930648662140
1010742412168
1146128a2294
1220b9741860
131022759307
1473c9bb34c
1542d15be13
hex2804c3388

10742412168 has 48 divisors (see below), whose sum is σ = 29880365580. Its totient is φ = 3484024704.

The previous prime is 10742412157. The next prime is 10742412169. The reversal of 10742412168 is 86121424701.

It is a happy number.

10742412168 is a `hidden beast` number, since 10 + 7 + 424 + 1 + 216 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8995004964 + 1747407204 = 94842^2 + 41802^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10742412169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2013555 + ... + 2018882.

Almost surely, 210742412168 is an apocalyptic number.

10742412168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10742412168 is an abundant number, since it is smaller than the sum of its proper divisors (19137953412).

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

10742412168 is a wasteful number, since it uses less digits than its factorization.

10742412168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032486 (or 4032479 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 10742412168 its reverse (86121424701), we get a palindrome (96863836869).

The spelling of 10742412168 in words is "ten billion, seven hundred forty-two million, four hundred twelve thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 4032437 8064874 12097311 16129748 24194622 32259496 36291933 48389244 72583866 96778488 145167732 149200169 290335464 298400338 447600507 596800676 895201014 1193601352 1342801521 1790402028 2685603042 3580804056 5371206084 10742412168