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14092087752 = 233461356509
BaseRepresentation
bin11010001111111010…
…00011000111001000
31100101002202020020000
431013331003013020
5212330033302002
610250202203000
71006133524641
oct150775030710
940332666200
1014092087752
115a81686116
1228934b3460
131437712182
149798086c8
1557727361c
hex347f431c8

14092087752 has 80 divisors (see below), whose sum is σ = 40118070300. Its totient is φ = 4620343680.

The previous prime is 14092087747. The next prime is 14092087799. The reversal of 14092087752 is 25778029041.

It is a happy number.

14092087752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 14015244996 + 76842756 = 118386^2 + 8766^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14092087698 and 14092087707.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 138727 + ... + 217782.

Almost surely, 214092087752 is an apocalyptic number.

14092087752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14092087752 is an abundant number, since it is smaller than the sum of its proper divisors (26025982548).

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

14092087752 is a wasteful number, since it uses less digits than its factorization.

14092087752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356588 (or 356575 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 14092087752 in words is "fourteen billion, ninety-two million, eighty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 488 549 648 732 1098 1464 1647 2196 3294 4392 4941 6588 9882 13176 19764 39528 356509 713018 1069527 1426036 2139054 2852072 3208581 4278108 6417162 8556216 9625743 12834324 19251486 21747049 25668648 28877229 38502972 43494098 57754458 65241147 77005944 86988196 115508916 130482294 173976392 195723441 231017832 260964588 391446882 521929176 587170323 782893764 1174340646 1565787528 1761510969 2348681292 3523021938 4697362584 7046043876 14092087752