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14068896768 = 210324793187
BaseRepresentation
bin11010001101001001…
…00101010000000000
31100022111010000011200
431012210211100000
5212303114144033
610244013141200
71005432435513
oct150644452000
940274100150
1014068896768
115a6a586413
12288778a800
1314329824b4
149766ccd7a
155751e2013
hex346925400

14068896768 has 132 divisors (see below), whose sum is σ = 40721216640. Its totient is φ = 4678373376.

The previous prime is 14068896767. The next prime is 14068896827. The reversal of 14068896768 is 86769886041.

14068896768 is a `hidden beast` number, since 1 + 406 + 88 + 96 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14068896767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4412871 + ... + 4416057.

Almost surely, 214068896768 is an apocalyptic number.

14068896768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14068896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20360608320).

14068896768 is an abundant number, since it is smaller than the sum of its proper divisors (26652319872).

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

14068896768 is a wasteful number, since it uses less digits than its factorization.

14068896768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 14068896768 in words is "fourteen billion, sixty-eight million, eight hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 479 512 576 768 958 1024 1152 1437 1536 1916 2304 2874 3072 3187 3832 4311 4608 5748 6374 7664 8622 9216 9561 11496 12748 15328 17244 19122 22992 25496 28683 30656 34488 38244 45984 50992 57366 61312 68976 76488 91968 101984 114732 122624 137952 152976 183936 203968 229464 245248 275904 305952 367872 407936 458928 490496 551808 611904 735744 815872 917856 1103616 1223808 1471488 1526573 1631744 1835712 2207232 2447616 3053146 3263488 3671424 4414464 4579719 4895232 6106292 7342848 9159438 9790464 12212584 13739157 14685696 18318876 24425168 27478314 29371392 36637752 48850336 54956628 73275504 97700672 109913256 146551008 195401344 219826512 293102016 390802688 439653024 586204032 781605376 879306048 1172408064 1563210752 1758612096 2344816128 3517224192 4689632256 7034448384 14068896768