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10006437144 = 2331137903171
BaseRepresentation
bin10010101000110111…
…00001110100011000
3221211100212200020010
421110123201310120
5130443121442034
64332532401520
7502653212064
oct112433416430
927740780203
1010006437144
114275411370
121b331762a0
13c36132432
146acd5aaa4
153d87303e9
hex2546e1d18

10006437144 has 32 divisors (see below), whose sum is σ = 27290283840. Its totient is φ = 3032253600.

The previous prime is 10006437143. The next prime is 10006437151. The reversal of 10006437144 is 44173460001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006437143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18951322 + ... + 18951849.

It is an arithmetic number, because the mean of its divisors is an integer number (852821370).

Almost surely, 210006437144 is an apocalyptic number.

It is an amenable number.

10006437144 is an abundant number, since it is smaller than the sum of its proper divisors (17283846696).

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

10006437144 is a wasteful number, since it uses less digits than its factorization.

10006437144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37903191 (or 37903187 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 10006437144 its reverse (44173460001), we get a palindrome (54179897145).

The spelling of 10006437144 in words is "ten billion, six million, four hundred thirty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 37903171 75806342 113709513 151612684 227419026 303225368 416934881 454838052 833869762 909676104 1250804643 1667739524 2501609286 3335479048 5003218572 10006437144