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556049491200 = 28335272173863
BaseRepresentation
bin10000001011101110010…
…00011110010100000000
31222011021001012212201000
420011313020132110000
533102242132204300
61103240130212000
755113265455600
oct10056710362400
91864231185630
10556049491200
111a4901494855
128b923a24000
13405872c4198
141ccad166c00
15e6e6639c00
hex817721e500

556049491200 has 1296 divisors, whose sum is σ = 2512042968960. Its totient is φ = 119589765120.

The previous prime is 556049491189. The next prime is 556049491213. The reversal of 556049491200 is 2194940655.

556049491200 is a `hidden beast` number, since 5 + 56 + 0 + 494 + 91 + 20 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 143940469 + ... + 143944331.

It is an arithmetic number, because the mean of its divisors is an integer number (1938304760).

Almost surely, 2556049491200 is an apocalyptic number.

556049491200 is a gapful number since it is divisible by the number (50) 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 556049491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256021484480).

556049491200 is an abundant number, since it is smaller than the sum of its proper divisors (1955993477760).

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

556049491200 is a wasteful number, since it uses less digits than its factorization.

556049491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 556049491200 in words is "five hundred fifty-six billion, forty-nine million, four hundred ninety-one thousand, two hundred".