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542420460450 = 2325211379289129
BaseRepresentation
bin1111110010010101100…
…01110110001110100010
31220212002012210101021100
413321022301312032202
532341334114213300
61053103504535230
754121453561221
oct7711261661642
91825065711240
10542420460450
1119a048233280
128915b621516
133c1c4800b4b
141c379058cb8
15e199d83700
hex7e4ac763a2

542420460450 has 144 divisors (see below), whose sum is σ = 1593985255200. Its totient is φ = 131148460800.

The previous prime is 542420460409. The next prime is 542420460551. The reversal of 542420460450 is 54064024245.

542420460450 is a `hidden beast` number, since 5 + 4 + 2 + 42 + 0 + 4 + 604 + 5 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1731486 + ... + 2020614.

It is an arithmetic number, because the mean of its divisors is an integer number (11069342050).

Almost surely, 2542420460450 is an apocalyptic number.

542420460450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 542420460450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796992627600).

542420460450 is an abundant number, since it is smaller than the sum of its proper divisors (1051564794750).

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

542420460450 is a wasteful number, since it uses less digits than its factorization.

542420460450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289537 (or 289529 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 542420460450 its reverse (54064024245), we get a palindrome (596484484695).

The spelling of 542420460450 in words is "five hundred forty-two billion, four hundred twenty million, four hundred sixty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 379 450 495 550 758 825 990 1137 1650 1895 2274 2475 3411 3790 4169 4950 5685 6822 8338 9475 11370 12507 17055 18950 20845 25014 28425 34110 37521 41690 56850 62535 75042 85275 104225 125070 170550 187605 208450 289129 312675 375210 578258 625350 867387 938025 1445645 1734774 1876050 2602161 2891290 3180419 4336935 5204322 6360838 7228225 8673870 9541257 13010805 14456450 15902095 19082514 21684675 26021610 28623771 31804190 43369350 47706285 57247542 65054025 79510475 95412570 109579891 130108050 143118855 159020950 219159782 238531425 286237710 328739673 477062850 547899455 657479346 715594275 986219019 1095798910 1205378801 1431188550 1643698365 1972438038 2410757602 2739497275 3287396730 3616136403 4931095095 5478994550 6026894005 7232272806 8218491825 9862190190 10848409209 12053788010 16436983650 18080682015 21696818418 24655475475 30134470025 36161364030 49310950950 54242046045 60268940050 90403410075 108484092090 180806820150 271210230225 542420460450