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14657434056 = 233436076271
BaseRepresentation
bin11011010011010011…
…01011000111001000
31101211111112210120000
431221221223013020
5220004300342211
610422235403000
71026140063616
oct155151530710
941744483500
1014657434056
116241815171
122a108b3460
1314c7896805
149d09306b6
155abbe8656
hex369a6b1c8

14657434056 has 80 divisors (see below), whose sum is σ = 41072317440. Its totient is φ = 4883677920.

The previous prime is 14657433977. The next prime is 14657434061. The reversal of 14657434056 is 65043475641.

14657434056 is a `hidden beast` number, since 1 + 46 + 574 + 34 + 0 + 5 + 6 = 666.

14657434056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×146574340562 (a number of 21 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 19 ways as a sum of consecutive naturals, for example, 2334201 + ... + 2340471.

It is an arithmetic number, because the mean of its divisors is an integer number (513403968).

Almost surely, 214657434056 is an apocalyptic number.

It is an amenable number.

14657434056 is an abundant number, since it is smaller than the sum of its proper divisors (26414883384).

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

14657434056 is a wasteful number, since it uses less digits than its factorization.

14657434056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9896 (or 9883 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 14657434056 in words is "fourteen billion, six hundred fifty-seven million, four hundred thirty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 3607 6271 7214 10821 12542 14428 18813 21642 25084 28856 32463 37626 43284 50168 56439 64926 75252 86568 97389 112878 129852 150504 169317 194778 225756 259704 292167 338634 389556 451512 507951 584334 677268 779112 1015902 1168668 1354536 2031804 2337336 4063608 22619497 45238994 67858491 90477988 135716982 180955976 203575473 271433964 407150946 542867928 610726419 814301892 1221452838 1628603784 1832179257 2442905676 3664358514 4885811352 7328717028 14657434056