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672400000000 = 21058412
BaseRepresentation
bin10011100100011100010…
…10011100010000000000
32101021120201020010102201
421302032022130100000
542004033400000000
61232521333322544
766402461461141
oct11621612342000
92337521203381
10672400000000
1123a1882a8143
12aa395496454
134b53a3907b1
1424789919ac8
151275600496a
hex9c8e29c400

672400000000 has 297 divisors, whose sum is σ = 1722157809661. Its totient is φ = 262400000000.

The previous prime is 672399999911. The next prime is 672400000033. The reversal of 672400000000 is 4276.

The square root of 672400000000 is 820000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 77453116416 + 594946883584 = 278304^2 + 771328^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16399999980 + ... + 16400000020.

Almost surely, 2672400000000 is an apocalyptic number.

672400000000 is the 820000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672400000000

672400000000 is an abundant number, since it is smaller than the sum of its proper divisors (1049757809661).

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

672400000000 is an frugal number, since it uses more digits than its factorization.

672400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

Adding to 672400000000 its reverse (4276), we get a palindrome (672400004276).

The spelling of 672400000000 in words is "six hundred seventy-two billion, four hundred million", and thus it is an aban number.