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552553101141330 = 235232938637148291
BaseRepresentation
bin111110110100010110100101…
…1010100000010010101010010
32200110102120010122221221120010
41331220231023110002111102
51034411012222343010310
65235103220153055350
7224246433643256532
oct17550551324022522
92613376118857503
10552553101141330
111500734aa623603
1251b805ab6b7556
131a9416c2b73183
149a639d9c7b4c2
1543d3292dd5320
hex1f68b4b502552

552553101141330 has 128 divisors (see below), whose sum is σ = 1431872654929920. Its totient is φ = 136045797789440.

The previous prime is 552553101141329. The next prime is 552553101141337. The reversal of 552553101141330 is 33141101355255.

It is not an unprimeable number, because it can be changed into a prime (552553101141337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73724485 + ... + 80872775.

It is an arithmetic number, because the mean of its divisors is an integer number (11186505116640).

Almost surely, 2552553101141330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552553101141330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715936327464960).

552553101141330 is an abundant number, since it is smaller than the sum of its proper divisors (879319553788590).

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

552553101141330 is a wasteful number, since it uses less digits than its factorization.

552553101141330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7152216.

The product of its (nonzero) digits is 135000, while the sum is 39.

Adding to 552553101141330 its reverse (33141101355255), we get a palindrome (585694202496585).

The spelling of 552553101141330 in words is "five hundred fifty-two trillion, five hundred fifty-three billion, one hundred one million, one hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 138 145 174 230 290 345 435 667 690 870 1334 2001 3335 3863 4002 6670 7726 10005 11589 19315 20010 23178 38630 57945 88849 112027 115890 177698 224054 266547 336081 444245 533094 560135 672162 888490 1120270 1332735 1680405 2576621 2665470 3360810 5153242 7148291 7729863 12883105 14296582 15459726 21444873 25766210 35741455 38649315 42889746 71482910 77298630 107224365 164410693 207300439 214448730 328821386 414600878 493232079 621901317 822053465 986464158 1036502195 1243802634 1644106930 2073004390 2466160395 3109506585 4767910097 4932320790 6219013170 9535820194 14303730291 23839550485 27613848133 28607460582 47679100970 55227696266 71518651455 82841544399 138069240665 143037302910 165683088798 276138481330 414207721995 635118507059 800801595857 828415443990 1270237014118 1601603191714 1905355521177 2402404787571 3175592535295 3810711042354 4004007979285 4804809575142 6351185070590 8008015958570 9526777605885 12012023937855 18418436704711 19053555211770 24024047875710 36836873409422 55255310114133 92092183523555 110510620228266 184184367047110 276276550570665 552553101141330