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64416156252341 = 713473677124279
BaseRepresentation
bin11101010010110000011100…
…00111000111100010110101
322110002010100200111020121112
432221120032013013202311
531420343242000033331
6345000212413124405
716365625254633215
oct1651301607074265
9273063320436545
1064416156252341
1119585813973633
127284348489705
1329c355724918a
1411c9a89842245
1576a92aa1432b
hex3a960e1c78b5

64416156252341 has 16 divisors (see below), whose sum is σ = 65690193162240. Its totient is φ = 63153304816560.

The previous prime is 64416156252313. The next prime is 64416156252353. The reversal of 64416156252341 is 14325265161446.

It is a happy number.

64416156252341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-64416156252341 is a prime.

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 64416156252341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64416156252361) 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 15 ways as a sum of consecutive naturals, for example, 5479640 + ... + 12603918.

It is an arithmetic number, because the mean of its divisors is an integer number (4105637072640).

Almost surely, 264416156252341 is an apocalyptic number.

It is an amenable number.

64416156252341 is a deficient number, since it is larger than the sum of its proper divisors (1274036909899).

64416156252341 is a wasteful number, since it uses less digits than its factorization.

64416156252341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7125064.

The product of its digits is 4147200, while the sum is 50.

The spelling of 64416156252341 in words is "sixty-four trillion, four hundred sixteen billion, one hundred fifty-six million, two hundred fifty-two thousand, three hundred forty-one".

Divisors: 1 71 347 367 24637 26057 127349 7124279 9041779 505823809 2472124813 2614610393 175520861723 185637337903 907269806371 64416156252341