Search a number
-
+
2206351357504 = 26741120119303
BaseRepresentation
bin100000000110110100110…
…010011111011001000000
321210220222102022221000121
4200012310302133121000
5242122101421420004
64405330034430024
7315255305050240
oct40066462373100
97726872287017
102206351357504
11780787904978
122b7732732314
1313009a68c348
1478b062c1b20
153c5d3d40854
hex201b4c9f640

2206351357504 has 56 divisors (see below), whose sum is σ = 5125730940288. Its totient is φ = 922516239360.

The previous prime is 2206351357481. The next prime is 2206351357519. The reversal of 2206351357504 is 4057531536022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×22063513575042 (a number of 25 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 60041284 + ... + 60078019.

It is an arithmetic number, because the mean of its divisors is an integer number (91530909648).

Almost surely, 22206351357504 is an apocalyptic number.

It is an amenable number.

2206351357504 is an abundant number, since it is smaller than the sum of its proper divisors (2919379582784).

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

2206351357504 is a wasteful number, since it uses less digits than its factorization.

2206351357504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120119363 (or 120119353 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 43.

The spelling of 2206351357504 in words is "two trillion, two hundred six billion, three hundred fifty-one million, three hundred fifty-seven thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 2296 2624 4592 9184 18368 120119303 240238606 480477212 840835121 960954424 1681670242 1921908848 3363340484 3843817696 4924891423 6726680968 7687635392 9849782846 13453361936 19699565692 26906723872 34474239961 39399131384 53813447744 68948479922 78798262768 137896959844 157596525536 275793919688 315193051072 551587839376 1103175678752 2206351357504