Search a number
-
+
7226290206976 = 2817298832
BaseRepresentation
bin110100100101000000001…
…1101011111100100000000
3221120211022120220112221011
41221022000131133210000
51421343420243110401
623211413434010304
71344040131201031
oct151120035374400
927524276815834
107226290206976
11233671a484125
12988605b76994
1340558956a699
141ada7bb92a88
15c7e8bc4e451
hex6928075f900

7226290206976 has 81 divisors (see below), whose sum is σ = 15324305881521. Its totient is φ = 3400263069696.

The previous prime is 7226290206943. The next prime is 7226290206977. The reversal of 7226290206976 is 6796020926227.

The square root of 7226290206976 is 2688176.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5626004486400 + 1600285720576 = 2371920^2 + 1265024^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7226290206976.

It is not an unprimeable number, because it can be changed into a prime (7226290206977) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 731178931 + ... + 731188813.

Almost surely, 27226290206976 is an apocalyptic number.

7226290206976 is the 2688176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7226290206976

7226290206976 is an abundant number, since it is smaller than the sum of its proper divisors (8098015674545).

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

7226290206976 is an frugal number, since it uses more digits than its factorization.

7226290206976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19816 (or 9902 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 58.

The spelling of 7226290206976 in words is "seven trillion, two hundred twenty-six billion, two hundred ninety million, two hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 1088 1156 2176 2312 4352 4624 9248 9883 18496 19766 36992 39532 73984 79064 158128 168011 316256 336022 632512 672044 1265024 1344088 2530048 2688176 2856187 5376352 5712374 10752704 11424748 21505408 22849496 43010816 45698992 91397984 97673689 182795968 195347378 365591936 390694756 731183872 781389512 1562779024 1660452713 3125558048 3320905426 6251116096 6641810852 12502232192 13283621704 25004464384 26567243408 28227696121 53134486816 56455392242 106268973632 112910784484 212537947264 225821568968 425075894528 451643137936 903286275872 1806572551744 3613145103488 7226290206976