Search a number
-
+
550450132120 = 235723103829841
BaseRepresentation
bin10000000001010010110…
…00100111010010011000
31221121210211000222001101
420000221120213102120
533004310213211440
61100512344401144
754524444631550
oct10005130472230
91847724028041
10550450132120
111a2498827469
128a8207761b4
133cba4232665
141c8db648160
15e4b9c9069a
hex8029627498

550450132120 has 128 divisors (see below), whose sum is σ = 1491325655040. Its totient is φ = 178767452160.

The previous prime is 550450132103. The next prime is 550450132123. The reversal of 550450132120 is 21231054055.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550450132123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248400 + ... + 1078240.

It is an arithmetic number, because the mean of its divisors is an integer number (11650981680).

Almost surely, 2550450132120 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 550450132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745662827520).

550450132120 is an abundant number, since it is smaller than the sum of its proper divisors (940875522920).

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

550450132120 is a wasteful number, since it uses less digits than its factorization.

550450132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829985 (or 829981 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 550450132120 its reverse (21231054055), we get a palindrome (571681186175).

The spelling of 550450132120 in words is "five hundred fifty billion, four hundred fifty million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 103 115 140 161 184 206 230 280 322 412 460 515 644 721 805 824 920 1030 1288 1442 1610 2060 2369 2884 3220 3605 4120 4738 5768 6440 7210 9476 11845 14420 16583 18952 23690 28840 33166 47380 66332 82915 94760 132664 165830 331660 663320 829841 1659682 3319364 4149205 5808887 6638728 8298410 11617774 16596820 19086343 23235548 29044435 33193640 38172686 46471096 58088870 76345372 85473623 95431715 116177740 133604401 152690744 170947246 190863430 232355480 267208802 341894492 381726860 427368115 534417604 598315361 668022005 683788984 763453720 854736230 1068835208 1196630722 1336044010 1709472460 1965893329 2393261444 2672088020 2991576805 3418944920 3931786658 4786522888 5344176040 5983153610 7863573316 9829466645 11966307220 13761253303 15727146632 19658933290 23932614440 27522506606 39317866580 55045013212 68806266515 78635733160 110090026424 137612533030 275225066060 550450132120