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13522429648 = 24721331127337
BaseRepresentation
bin11001001011111111…
…11110011011010000
31021220101211121012201
430211333332123100
5210143220222043
610113452332544
7656045520100
oct144577763320
937811747181
1013522429648
11580a0715a2
122754774154
1313766ab080
14923cbd200
1554224ac4d
hex325ffe6d0

13522429648 has 240 divisors, whose sum is σ = 34248474624. Its totient is φ = 5120962560.

The previous prime is 13522429631. The next prime is 13522429667. The reversal of 13522429648 is 84692422531.

It is a super-2 number, since 2×135224296482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13522429598 and 13522429607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40125736 + ... + 40126072.

Almost surely, 213522429648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13522429648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124237312).

13522429648 is an abundant number, since it is smaller than the sum of its proper divisors (20726044976).

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

13522429648 is a wasteful number, since it uses less digits than its factorization.

13522429648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 517 counting only the distinct ones).

The product of its digits is 829440, while the sum is 46.

The spelling of 13522429648 in words is "thirteen billion, five hundred twenty-two million, four hundred twenty-nine thousand, six hundred forty-eight".