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13355247584 = 257389153269
BaseRepresentation
bin11000111000000100…
…01110011111100000
31021110202020212112102
430130002032133200
5204322420410314
610045121145532
7651645505610
oct143402163740
937422225472
1013355247584
1157337641a8
12270878b2a8
13134ab74583
14909a00a40
155327255de
hex31c08e7e0

13355247584 has 48 divisors (see below), whose sum is σ = 30126751200. Its totient is φ = 5708926464.

The previous prime is 13355247557. The next prime is 13355247589. The reversal of 13355247584 is 48574255331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13355247589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10502 + ... + 163770.

It is an arithmetic number, because the mean of its divisors is an integer number (627640650).

Almost surely, 213355247584 is an apocalyptic number.

13355247584 is a gapful number since it is divisible by the number (14) 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 13355247584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15063375600).

13355247584 is an abundant number, since it is smaller than the sum of its proper divisors (16771503616).

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

13355247584 is a wasteful number, since it uses less digits than its factorization.

13355247584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153675 (or 153667 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 47.

The spelling of 13355247584 in words is "thirteen billion, three hundred fifty-five million, two hundred forty-seven thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 389 778 1556 2723 3112 5446 6224 10892 12448 21784 43568 87136 153269 306538 613076 1072883 1226152 2145766 2452304 4291532 4904608 8583064 17166128 34332256 59621641 119243282 238486564 417351487 476973128 834702974 953946256 1669405948 1907892512 3338811896 6677623792 13355247584