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4495260625944 = 23311210315028687
BaseRepresentation
bin100000101101010001001…
…1010011010110000011000
3120220202001102221021012020
41001122202122122300120
51042122243210012234
613321032204014440
7642525514604424
oct101324232326030
916822042837166
104495260625944
11148347a483200
12607265831420
13267b940aaa5a
14117800d45b84
157bdea9b9549
hex416a269ac18

4495260625944 has 96 divisors (see below), whose sum is σ = 12472608744960. Its totient is φ = 1348974855360.

The previous prime is 4495260625901. The next prime is 4495260625963.

It is a happy number.

4495260625944 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44952606259442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7215232 + ... + 7813455.

It is an arithmetic number, because the mean of its divisors is an integer number (129923007760).

Almost surely, 24495260625944 is an apocalyptic number.

4495260625944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4495260625944 is an abundant number, since it is smaller than the sum of its proper divisors (7977348119016).

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

4495260625944 is a wasteful number, since it uses less digits than its factorization.

4495260625944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15028821 (or 15028806 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 60.

The spelling of 4495260625944 in words is "four trillion, four hundred ninety-five billion, two hundred sixty million, six hundred twenty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 121 132 206 242 264 309 363 412 484 618 726 824 968 1133 1236 1452 2266 2472 2904 3399 4532 6798 9064 12463 13596 24926 27192 37389 49852 74778 99704 149556 299112 15028687 30057374 45086061 60114748 90172122 120229496 165315557 180344244 330631114 360688488 495946671 661262228 991893342 1322524456 1547954761 1818471127 1983786684 3095909522 3636942254 3967573368 4643864283 5455413381 6191819044 7273884508 9287728566 10910826762 12383638088 14547769016 17027502371 18575457132 21821653524 34055004742 37150914264 43643307048 51082507113 68110009484 102165014226 136220018968 187302526081 204330028452 374605052162 408660056904 561907578243 749210104324 1123815156486 1498420208648 2247630312972 4495260625944