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12978004380 = 223511238391019
BaseRepresentation
bin11000001011000110…
…01010000110011100
31020111110101221010220
430011203022012130
5203034332120010
65543443401340
7636415134315
oct140543120634
936443357126
1012978004380
11555a821860
122622383250
1312ba970143
148b188160c
1550e559970
hex3058ca19c

12978004380 has 192 divisors, whose sum is σ = 41455411200. Its totient is φ = 3002855680.

The previous prime is 12978004373. The next prime is 12978004381. The reversal of 12978004380 is 8340087921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12978004381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12735511 + ... + 12736529.

It is an arithmetic number, because the mean of its divisors is an integer number (215913600).

Almost surely, 212978004380 is an apocalyptic number.

12978004380 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 12978004380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20727705600).

12978004380 is an abundant number, since it is smaller than the sum of its proper divisors (28477406820).

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

12978004380 is a wasteful number, since it uses less digits than its factorization.

12978004380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 12978004380 in words is "twelve billion, nine hundred seventy-eight million, four thousand, three hundred eighty".