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68142032448 = 263758078731
BaseRepresentation
bin111111011101100101…
…001110011001000000
320111212221020220112120
4333131211032121000
52104023330014243
651145400124240
74631423501430
oct773545163100
9214787226476
1068142032448
11269984455a6
1211258766680
13656c53c779
143425d702c0
151b8c456c83
hexfdd94e640

68142032448 has 112 divisors (see below), whose sum is σ = 206107613184. Its totient is φ = 19463569920.

The previous prime is 68142032333. The next prime is 68142032503. The reversal of 68142032448 is 84423024186.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×681420324482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7800243 + ... + 7808973.

Almost surely, 268142032448 is an apocalyptic number.

It is an amenable number.

68142032448 is an abundant number, since it is smaller than the sum of its proper divisors (137965580736).

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

68142032448 is a wasteful number, since it uses less digits than its factorization.

68142032448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14560 (or 14550 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 68142032448 in words is "sixty-eight billion, one hundred forty-two million, thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 5807 8731 11614 17421 17462 23228 26193 34842 34924 40649 46456 52386 61117 69684 69848 81298 92912 104772 121947 122234 139368 139696 162596 183351 185824 209544 243894 244468 278736 279392 325192 366702 371648 419088 487788 488936 557472 558784 650384 733404 838176 975576 977872 1114944 1300768 1466808 1676352 1951152 1955744 2601536 2933616 3902304 3911488 5867232 7804608 11734464 50700917 101401834 152102751 202803668 304205502 354906419 405607336 608411004 709812838 811214672 1064719257 1216822008 1419625676 1622429344 2129438514 2433644016 2839251352 3244858688 4258877028 4867288032 5678502704 8517754056 9734576064 11357005408 17035508112 22714010816 34071016224 68142032448