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542236500224 = 2843139354377
BaseRepresentation
bin1111110001111111101…
…00000110000100000000
31220211121101122020021122
413320333310012010000
532341000021001344
61053033334011412
754114061130066
oct7707764060400
91824541566248
10542236500224
11199a63406231
1289109aa6b68
133c195671543
141c35c850036
15e188b46aee
hex7e3fd06100

542236500224 has 72 divisors (see below), whose sum is σ = 1115496893280. Its totient is φ = 262907301888.

The previous prime is 542236500139. The next prime is 542236500227. The reversal of 542236500224 is 422005632245.

It is not an unprimeable number, because it can be changed into a prime (542236500227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1352924 + ... + 1707300.

Almost surely, 2542236500224 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 542236500224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557748446640).

542236500224 is an abundant number, since it is smaller than the sum of its proper divisors (573260393056).

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

542236500224 is a wasteful number, since it uses less digits than its factorization.

542236500224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354575 (or 354561 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 542236500224 in words is "five hundred forty-two billion, two hundred thirty-six million, five hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 139 172 256 278 344 556 688 1112 1376 2224 2752 4448 5504 5977 8896 11008 11954 17792 23908 35584 47816 95632 191264 354377 382528 708754 765056 1417508 1530112 2835016 5670032 11340064 15238211 22680128 30476422 45360256 49258403 60952844 90720512 98516806 121905688 197033612 243811376 394067224 487622752 788134448 975245504 1576268896 1950491008 2118111329 3152537792 3900982016 4236222658 6305075584 8472445316 12610151168 16944890632 33889781264 67779562528 135559125056 271118250112 542236500224