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12919379040 = 253359773061
BaseRepresentation
bin11000000100000111…
…00001010001100000
31020100101002110022000
430002003201101200
5202424330112130
65533551044000
7635103624051
oct140203412140
936311073260
1012919379040
11552a71a767
122606810600
1312ab784aa9
148a7b80728
15509329260
hex3020e1460

12919379040 has 192 divisors, whose sum is σ = 45278896320. Its totient is φ = 3440517120.

The previous prime is 12919378993. The next prime is 12919379089. The reversal of 12919379040 is 4097391921.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4219110 + ... + 4222170.

It is an arithmetic number, because the mean of its divisors is an integer number (235827585).

Almost surely, 212919379040 is an apocalyptic number.

12919379040 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 12919379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22639448160).

12919379040 is an abundant number, since it is smaller than the sum of its proper divisors (32359517280).

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

12919379040 is a wasteful number, since it uses less digits than its factorization.

12919379040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 12919379040 in words is "twelve billion, nine hundred nineteen million, three hundred seventy-nine thousand, forty".