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10144326819 = 31117313831523
BaseRepresentation
bin10010111001010011…
…00010010010100011
3222011222100012022010
421130221202102203
5131233421424234
64354340044003
7506246232564
oct113451422243
928158305263
1010144326819
114336231980
121b71393603
13c58881063
146c33b216b
153e58bb6e9
hex25ca624a3

10144326819 has 64 divisors (see below), whose sum is σ = 16180051968. Its totient is φ = 5581478400.

The previous prime is 10144326809. The next prime is 10144326931. The reversal of 10144326819 is 91862344101.

It is not a de Polignac number, because 10144326819 - 27 = 10144326691 is a prime.

It is a super-2 number, since 2×101443268192 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10144326809) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6659992 + ... + 6661514.

It is an arithmetic number, because the mean of its divisors is an integer number (252813312).

Almost surely, 210144326819 is an apocalyptic number.

10144326819 is a deficient number, since it is larger than the sum of its proper divisors (6035725149).

10144326819 is a wasteful number, since it uses less digits than its factorization.

10144326819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968.

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 10144326819 in words is "ten billion, one hundred forty-four million, three hundred twenty-six thousand, eight hundred nineteen".

Divisors: 1 3 11 17 31 33 51 93 187 341 383 527 561 1023 1149 1523 1581 4213 4569 5797 6511 11873 12639 16753 17391 19533 25891 35619 47213 50259 71621 77673 130603 141639 201841 214863 284801 391809 519343 583309 605523 802621 854403 1558029 1749927 2220251 2407863 6416399 6660753 8828831 9916253 18082579 19249197 26486493 29748759 54247737 109078783 198908369 307403843 327236349 596725107 922211529 3381442273 10144326819