Search a number
-
+
75542140212 = 223711383213461
BaseRepresentation
bin100011001011010101…
…0011001010100110100
321012222122212022222220
41012112222121110310
52214202241441322
654411550122340
75313001411560
oct1062652312464
9235878768886
1075542140212
112a045629040
1212782ab03b0
13717b6c4066
143928abc6a0
151e71e5655c
hex1196a99534

75542140212 has 96 divisors (see below), whose sum is σ = 220333768704. Its totient is φ = 19570012800.

The previous prime is 75542140207. The next prime is 75542140259. The reversal of 75542140212 is 21204124557.

It is a super-2 number, since 2×755421402122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247162 + ... + 460622.

It is an arithmetic number, because the mean of its divisors is an integer number (2295143424).

Almost surely, 275542140212 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 75542140212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110166884352).

75542140212 is an abundant number, since it is smaller than the sum of its proper divisors (144791628492).

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

75542140212 is a wasteful number, since it uses less digits than its factorization.

75542140212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213869 (or 213867 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

Adding to 75542140212 its reverse (21204124557), we get a palindrome (96746264769).

The spelling of 75542140212 in words is "seventy-five billion, five hundred forty-two million, one hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 383 462 766 924 1149 1532 2298 2681 4213 4596 5362 8043 8426 10724 12639 16086 16852 25278 29491 32172 50556 58982 88473 117964 176946 213461 353892 426922 640383 853844 1280766 1494227 2348071 2561532 2988454 4482681 4696142 5976908 7044213 8965362 9392284 14088426 16436497 17930724 28176852 32872994 49309491 65745988 81755563 98618982 163511126 197237964 245266689 327022252 490533378 572288941 899311193 981066756 1144577882 1716866823 1798622386 2289155764 2697933579 3433733646 3597244772 5395867158 6295178351 6867467292 10791734316 12590356702 18885535053 25180713404 37771070106 75542140212