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557429226224 = 241329389237563
BaseRepresentation
bin10000001110010010101…
…11101111101011110000
31222021211012102200100012
420013021113233223300
533113103340214344
61104025054514052
755162421146643
oct10071127575360
91867735380305
10557429226224
111a544a2a2132
1290049b05928
13407470c8a40
141cda04c1a5a
15e77782a29e
hex81c95efaf0

557429226224 has 80 divisors (see below), whose sum is σ = 1206302479200. Its totient is φ = 247763862528.

The previous prime is 557429226197. The next prime is 557429226229. The reversal of 557429226224 is 422622924755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557429226229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2227667 + ... + 2465229.

It is an arithmetic number, because the mean of its divisors is an integer number (15078780990).

Almost surely, 2557429226224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557429226224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603151239600).

557429226224 is an abundant number, since it is smaller than the sum of its proper divisors (648873252976).

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

557429226224 is a wasteful number, since it uses less digits than its factorization.

557429226224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238002 (or 237996 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 50.

The spelling of 557429226224 in words is "five hundred fifty-seven billion, four hundred twenty-nine million, two hundred twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 389 464 754 778 1508 1556 3016 3112 5057 6032 6224 10114 11281 20228 22562 40456 45124 80912 90248 146653 180496 237563 293306 475126 586612 950252 1173224 1900504 2346448 3088319 3801008 6176638 6889327 12353276 13778654 24706552 27557308 49413104 55114616 89561251 92412007 110229232 179122502 184824014 358245004 369648028 716490008 739296056 1201356091 1432980016 1478592112 2402712182 2679948203 4805424364 5359896406 9610848728 10719792812 19221697456 21439585624 34839326639 42879171248 69678653278 139357306556 278714613112 557429226224