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13354860288 = 283711534261
BaseRepresentation
bin11000111000000001…
…01111111100000000
31021110201112012021010
430130000233330000
5204322321012123
610045105000520
7651642303510
oct143400577400
937421465233
1013354860288
11573351a220
122708623140
13134aa6a1c3
1490993d840
1553269a993
hex31c02ff00

13354860288 has 288 divisors, whose sum is σ = 45160561152. Its totient is φ = 3402547200.

The previous prime is 13354860283. The next prime is 13354860307. The reversal of 13354860288 is 88206845331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13354860283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3132078 + ... + 3136338.

It is an arithmetic number, because the mean of its divisors is an integer number (156807504).

Almost surely, 213354860288 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 13354860288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22580280576).

13354860288 is an abundant number, since it is smaller than the sum of its proper divisors (31805700864).

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

13354860288 is a wasteful number, since it uses less digits than its factorization.

13354860288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4351 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 13354860288 in words is "thirteen billion, three hundred fifty-four million, eight hundred sixty thousand, two hundred eighty-eight".