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542560064300 = 225217412189859
BaseRepresentation
bin1111110010100110001…
…10011001001100101100
31220212102221110222202022
413321103012121030230
532342130334024200
61053125413045312
754125100311432
oct7712306311454
91825387428668
10542560064300
1119a10a014761
128919a326838
133c2176cca87
141c38d7d8d52
15e1a725c885
hex7e5319932c

542560064300 has 108 divisors (see below), whose sum is σ = 1277765014680. Its totient is φ = 199274956800.

The previous prime is 542560064297. The next prime is 542560064303. The reversal of 542560064300 is 3460065245.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (542560064297) and next prime (542560064303).

It is not an unprimeable number, because it can be changed into a prime (542560064303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2762771 + ... + 2952629.

Almost surely, 2542560064300 is an apocalyptic number.

542560064300 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 542560064300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638882507340).

542560064300 is an abundant number, since it is smaller than the sum of its proper divisors (735204950380).

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

542560064300 is a wasteful number, since it uses less digits than its factorization.

542560064300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189972 (or 189924 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 542560064300 in words is "five hundred forty-two billion, five hundred sixty million, sixty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 68 82 85 100 164 170 205 340 410 425 697 820 850 1025 1394 1681 1700 2050 2788 3362 3485 4100 6724 6970 8405 13940 16810 17425 28577 33620 34850 42025 57154 69700 84050 114308 142885 168100 189859 285770 379718 571540 714425 759436 949295 1428850 1898590 2857700 3227603 3797180 4746475 6455206 7784219 9492950 12910412 15568438 16138015 18985900 31136876 32276030 38921095 64552060 77842190 80690075 132331723 155684380 161380150 194605475 264663446 319152979 322760300 389210950 529326892 638305958 661658615 778421900 1276611916 1323317230 1595764895 2646634460 3191529790 3308293075 5425600643 6383059580 6616586150 7978824475 10851201286 13233172300 15957648950 21702402572 27128003215 31915297900 54256006430 108512012860 135640016075 271280032150 542560064300