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14830758492 = 22311259233743
BaseRepresentation
bin11011100111111101…
…10110101001011100
31102021120200120222120
431303332312221130
5220333133232432
610451350342540
71033343236644
oct156376665134
942246616876
1014830758492
116320638400
122a5a95aa50
131524771054
14a0996b524
155bc033c2c
hex373fb6a5c

14830758492 has 144 divisors (see below), whose sum is σ = 38900010240. Its totient is φ = 4393114880.

The previous prime is 14830758487. The next prime is 14830758499. The reversal of 14830758492 is 29485703841.

It is a happy number.

It is a super-2 number, since 2×148307584922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14830758499) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19960273 + ... + 19961015.

It is an arithmetic number, because the mean of its divisors is an integer number (270138960).

Almost surely, 214830758492 is an apocalyptic number.

14830758492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14830758492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450005120).

14830758492 is an abundant number, since it is smaller than the sum of its proper divisors (24069251748).

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

14830758492 is a wasteful number, since it uses less digits than its factorization.

14830758492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 14830758492 in words is "fourteen billion, eight hundred thirty million, seven hundred fifty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 121 132 177 233 236 242 354 363 466 484 649 699 708 726 743 932 1298 1398 1452 1486 1947 2229 2563 2596 2796 2972 3894 4458 5126 7139 7689 7788 8173 8916 10252 13747 14278 15378 16346 21417 24519 27494 28193 28556 30756 32692 41241 42834 43837 49038 54988 56386 82482 84579 85668 87674 89903 98076 112772 131511 151217 164964 169158 173119 175348 179806 263022 269709 302434 338316 346238 359612 453651 482207 519357 526044 539418 604868 692476 907302 964414 1038714 1078836 1446621 1663387 1814604 1904309 1928828 2077428 2893242 3326774 3808618 4990161 5304277 5712927 5786484 6653548 7617236 9980322 10214021 10608554 11425854 15912831 19960644 20428042 20947399 21217108 22851708 30642063 31825662 40856084 41894798 61284126 62842197 63651324 83789596 112354231 122568252 125684394 224708462 251368788 337062693 449416924 674125386 1235896541 1348250772 2471793082 3707689623 4943586164 7415379246 14830758492