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13269163440 = 2435132292389
BaseRepresentation
bin11000101101110011…
…10101110110110000
31021020202021100021210
430112321311312300
5204133401212230
610032404120120
7646552012461
oct142671656660
937222240253
1013269163440
11569a107985
1226a3996040
131336093b00
148dc3d2d68
15529dbdeb0
hex316e75db0

13269163440 has 360 divisors, whose sum is σ = 46249472880. Its totient is φ = 3145519104.

The previous prime is 13269163433. The next prime is 13269163507. The reversal of 13269163440 is 4436196231.

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34110766 + ... + 34111154.

It is an arithmetic number, because the mean of its divisors is an integer number (128470758).

Almost surely, 213269163440 is an apocalyptic number.

13269163440 is a gapful number since it is divisible by the number (10) 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 13269163440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23124736440).

13269163440 is an abundant number, since it is smaller than the sum of its proper divisors (32980309440).

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

13269163440 is a wasteful number, since it uses less digits than its factorization.

13269163440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 13269163440 in words is "thirteen billion, two hundred sixty-nine million, one hundred sixty-three thousand, four hundred forty".