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10144762023 = 311787339047
BaseRepresentation
bin10010111001010110…
…01100100010100111
3222012000011022021210
421130223030202213
5131234024341043
64354353242503
7506253024444
oct113453144247
928160138253
1010144762023
1143364a9950
121b71563433
13c589a4186
146c34869cb
153e5955633
hex25cacc8a7

10144762023 has 16 divisors (see below), whose sum is σ = 14758269696. Its totient is φ = 6147402240.

The previous prime is 10144762013. The next prime is 10144762027. The reversal of 10144762023 is 32026744101.

10144762023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10144762023 - 216 = 10144696487 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144762027) 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 15 ways as a sum of consecutive naturals, for example, 240286 + ... + 279332.

It is an arithmetic number, because the mean of its divisors is an integer number (922391856).

Almost surely, 210144762023 is an apocalyptic number.

10144762023 is a deficient number, since it is larger than the sum of its proper divisors (4613507673).

10144762023 is a wasteful number, since it uses less digits than its factorization.

10144762023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46934.

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

The spelling of 10144762023 in words is "ten billion, one hundred forty-four million, seven hundred sixty-two thousand, twenty-three".

Divisors: 1 3 11 33 7873 23619 39047 86603 117141 259809 429517 1288551 307417031 922251093 3381587341 10144762023