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2050050212224 = 27734946114221
BaseRepresentation
bin11101110101010000100…
…000111100000110000000
321020222112112011001210221
4131311100200330012000
5232042000323242344
64205440254432424
7301053104201110
oct35652040740600
97228475131727
102050050212224
1172046a99a043
12291391802714
1311b41b834c71
1471319b31040
15384d6e90184
hex1dd5083c180

2050050212224 has 128 divisors (see below), whose sum is σ = 4691382696000. Its totient is φ = 874113638400.

The previous prime is 2050050212219. The next prime is 2050050212291. The reversal of 2050050212224 is 4222120500502.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144149434 + ... + 144163654.

Almost surely, 22050050212224 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 2050050212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345691348000).

2050050212224 is an abundant number, since it is smaller than the sum of its proper divisors (2641332483776).

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

2050050212224 is a wasteful number, since it uses less digits than its factorization.

2050050212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15052 (or 15040 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 2050050212224 its reverse (4222120500502), we get a palindrome (6272170712726).

The spelling of 2050050212224 in words is "two trillion, fifty billion, fifty million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 349 448 461 698 896 922 1396 1844 2443 2792 3227 3688 4886 5584 6454 7376 9772 11168 12908 14221 14752 19544 22336 25816 28442 29504 39088 44672 51632 56884 59008 78176 99547 103264 113768 156352 160889 199094 206528 227536 312704 321778 398188 413056 455072 643556 796376 910144 1126223 1287112 1592752 1820288 2252446 2574224 3185504 4504892 4963129 5148448 6371008 6555881 9009784 9926258 10296896 12742016 13111762 18019568 19852516 20593792 26223524 34741903 36039136 39705032 45891167 52447048 69483806 72078272 79410064 91782334 104894096 138967612 144156544 158820128 183564668 209788192 277935224 317640256 367129336 419576384 555870448 635280512 734258672 839152768 1111740896 1468517344 2223481792 2288002469 2937034688 4446963584 4576004938 5874069376 9152009876 16016017283 18304019752 32032034566 36608039504 64064069132 73216079008 128128138264 146432158016 256256276528 292864316032 512512553056 1025025106112 2050050212224