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12925593408 = 2637131743517
BaseRepresentation
bin11000000100110110…
…01110011101000000
31020100210210011210210
430002123032131000
5202432422442113
65534332154120
7635210505540
oct140233163500
936323704723
1012925593408
115533184702
122608908940
1312acb4c530
148a891b320
15509b556c3
hex3026ce740

12925593408 has 224 divisors, whose sum is σ = 44568002304. Its totient is φ = 3208347648.

The previous prime is 12925593407. The next prime is 12925593419. The reversal of 12925593408 is 80439552921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 (12925593407) 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, 275266 + ... + 318782.

It is an arithmetic number, because the mean of its divisors is an integer number (198964296).

Almost surely, 212925593408 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 12925593408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22284001152).

12925593408 is an abundant number, since it is smaller than the sum of its proper divisors (31642408896).

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

12925593408 is a wasteful number, since it uses less digits than its factorization.

12925593408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43569 (or 43559 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 12925593408 in words is "twelve billion, nine hundred twenty-five million, five hundred ninety-three thousand, four hundred eight".