Search a number
-
+
550322130400 = 25527548317923
BaseRepresentation
bin10000000001000011100…
…00010100110111100000
31221121110220011210200221
420000201300110313200
533004024431133100
61100451533052424
754521331632650
oct10004160246740
91847426153627
10550322130400
111a243254a919
128a7a5927114
133cb838665b3
141c8c8648360
15e4ad90901a
hex8021c14de0

550322130400 has 144 divisors (see below), whose sum is σ = 1535764454784. Its totient is φ = 188636935680.

The previous prime is 550322130389. The next prime is 550322130469. The reversal of 550322130400 is 4031223055.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30695839 + ... + 30713761.

It is an arithmetic number, because the mean of its divisors is an integer number (10665030936).

Almost surely, 2550322130400 is an apocalyptic number.

550322130400 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 550322130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767882227392).

550322130400 is an abundant number, since it is smaller than the sum of its proper divisors (985442324384).

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

550322130400 is a wasteful number, since it uses less digits than its factorization.

550322130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23433 (or 23420 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 550322130400 its reverse (4031223055), we get a palindrome (554353353455).

The spelling of 550322130400 in words is "five hundred fifty billion, three hundred twenty-two million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5483 5600 10966 17923 21932 27415 35846 38381 43864 54830 71692 76762 87728 89615 109660 125461 137075 143384 153524 175456 179230 191905 219320 250922 274150 286768 307048 358460 383810 438640 448075 501844 548300 573536 614096 627305 716920 767620 877280 896150 959525 1003688 1096600 1228192 1254610 1433840 1535240 1792300 1919050 2007376 2193200 2509220 2867680 3070480 3136525 3584600 3838100 4014752 4386400 5018440 6140960 6273050 7169200 7676200 10036880 12546100 14338400 15352400 20073760 25092200 30704800 50184400 98271809 100368800 196543618 393087236 491359045 687902663 786174472 982718090 1375805326 1572348944 1965436180 2456795225 2751610652 3144697888 3439513315 3930872360 4913590450 5503221304 6879026630 7861744720 9827180900 11006442608 13758053260 15723489440 17197566575 19654361800 22012885216 27516106520 34395133150 39308723600 55032213040 68790266300 78617447200 110064426080 137580532600 275161065200 550322130400