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12973409280 = 210335137219
BaseRepresentation
bin11000001010100011…
…01000010000000000
31020111010202110212000
430011101220100000
5203032143044110
65543201104000
7636331105446
oct140521502000
936433673760
1012973409280
115558173457
122620928000
1312b9a21750
148b1006b96
1550de4d1c0
hex305468400

12973409280 has 352 divisors, whose sum is σ = 49658582400. Its totient is φ = 3193012224.

The previous prime is 12973409261. The next prime is 12973409303. The reversal of 12973409280 is 8290437921.

12973409280 is a `hidden beast` number, since 1 + 29 + 7 + 340 + 9 + 280 = 666.

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

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, 1793511 + ... + 1800729.

Almost surely, 212973409280 is an apocalyptic number.

12973409280 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 12973409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24829291200).

12973409280 is an abundant number, since it is smaller than the sum of its proper divisors (36685173120).

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

12973409280 is a wasteful number, since it uses less digits than its factorization.

12973409280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7266 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12973409280 in words is "twelve billion, nine hundred seventy-three million, four hundred nine thousand, two hundred eighty".