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7113416506336 = 257283311209433
BaseRepresentation
bin110011110000011100010…
…1010011111101111100000
3221012000222020010110101001
41213200320222133233200
51413021234111200321
623043505230521344
71332633043443430
oct147407052375740
927160866113331
107113416506336
1122a2868198208
1296a764966254
133c7a3b8aa4ca
141a84110822c0
15c508270ec91
hex67838a9fbe0

7113416506336 has 48 divisors (see below), whose sum is σ = 16010838121824. Its totient is φ = 3047530696704.

The previous prime is 7113416506331. The next prime is 7113416506451. The reversal of 7113416506336 is 6336056143117.

It is a super-2 number, since 2×71134165063362 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7113416506331) 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 7 ways as a sum of consecutive naturals, for example, 4970125 + ... + 6239308.

It is an arithmetic number, because the mean of its divisors is an integer number (333559127538).

Almost surely, 27113416506336 is an apocalyptic number.

It is an amenable number.

7113416506336 is an abundant number, since it is smaller than the sum of its proper divisors (8897421615488).

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

7113416506336 is a wasteful number, since it uses less digits than its factorization.

7113416506336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11212283 (or 11212275 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 7113416506336 in words is "seven trillion, one hundred thirteen billion, four hundred sixteen million, five hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 2833 5666 11332 19831 22664 39662 45328 79324 90656 158648 317296 634592 11209433 22418866 44837732 78466031 89675464 156932062 179350928 313864124 358701856 627728248 1255456496 2510912992 31756323689 63512647378 127025294756 222294265823 254050589512 444588531646 508101179024 889177063292 1016202358048 1778354126584 3556708253168 7113416506336