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12978296604 = 2237721317137
BaseRepresentation
bin11000001011001000…
…10001011100011100
31020111110221210000000
430011210101130130
5203034420442404
65543453534300
7636420462300
oct140544213434
936443853000
1012978296604
11555aa01369
1226224a4390
1312baa43160
148b1919d00
1550e5b6339
hex30591171c

12978296604 has 576 divisors, whose sum is σ = 45512046720. Its totient is φ = 3197988864.

The previous prime is 12978296531. The next prime is 12978296623. The reversal of 12978296604 is 40669287921.

12978296604 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 8 + 29 + 6 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94732024 + ... + 94732160.

It is an arithmetic number, because the mean of its divisors is an integer number (79013970).

Almost surely, 212978296604 is an apocalyptic number.

12978296604 is a gapful number since it is divisible by the number (14) 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 12978296604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22756023360).

12978296604 is an abundant number, since it is smaller than the sum of its proper divisors (32533750116).

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

12978296604 is a wasteful number, since it uses less digits than its factorization.

12978296604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 12978296604 in words is "twelve billion, nine hundred seventy-eight million, two hundred ninety-six thousand, six hundred four".