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20617132458 = 23132961149419
BaseRepresentation
bin10011001100111000…
…000111100110101010
31222012211202211211110
4103030320013212222
5314210441214313
613245452411150
71326624506616
oct231470074652
958184684743
1020617132458
11881a91984a
123bb4776ab6
131c374c1680
14dd824c346
1580a01eec3
hex4cce079aa

20617132458 has 64 divisors (see below), whose sum is σ = 46690761600. Its totient is φ = 6024533760.

The previous prime is 20617132441. The next prime is 20617132463. The reversal of 20617132458 is 85423171602.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 63273 + ... + 212691.

It is an arithmetic number, because the mean of its divisors is an integer number (729543150).

Almost surely, 220617132458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20617132458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23345380800).

20617132458 is an abundant number, since it is smaller than the sum of its proper divisors (26073629142).

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

20617132458 is a wasteful number, since it uses less digits than its factorization.

20617132458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149527.

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 20617132458 in words is "twenty billion, six hundred seventeen million, one hundred thirty-two thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 13 26 29 39 58 61 78 87 122 174 183 366 377 754 793 1131 1586 1769 2262 2379 3538 4758 5307 10614 22997 45994 68991 137982 149419 298838 448257 896514 1942447 3884894 4333151 5827341 8666302 9114559 11654682 12999453 18229118 25998906 27343677 54687354 56330963 112661926 118489267 168992889 236978534 264322211 337985778 355467801 528644422 710935602 792966633 1585933266 3436188743 6872377486 10308566229 20617132458