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13058314752 = 293773127131
BaseRepresentation
bin11000010100101011…
…00001001000000000
31020201001112010021010
430022111201020000
5203220412033002
65555433000520
7641411562330
oct141225411000
936631463233
1013058314752
1155a109516a
122645253140
1313014ab882
148bc3c90c0
1551662046c
hex30a561200

13058314752 has 320 divisors, whose sum is σ = 40929951744. Its totient is φ = 3622993920.

The previous prime is 13058314747. The next prime is 13058314783. The reversal of 13058314752 is 25741385031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13058314752.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99681727 + ... + 99681857.

Almost surely, 213058314752 is an apocalyptic number.

13058314752 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 13058314752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20464975872).

13058314752 is an abundant number, since it is smaller than the sum of its proper divisors (27871636992).

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

13058314752 is a wasteful number, since it uses less digits than its factorization.

13058314752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

Adding to 13058314752 its reverse (25741385031), we get a palindrome (38799699783).

The spelling of 13058314752 in words is "thirteen billion, fifty-eight million, three hundred fourteen thousand, seven hundred fifty-two".