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68693200688 = 24712713735251
BaseRepresentation
bin111111111110011011…
…110000111100110000
320120022100101011020002
4333332123300330300
52111140424410223
651320205405132
74651165400060
oct777633607460
9216270334202
1068693200688
1127150580442
12113912697a8
13662979b918
1434792453a0
151bc0a2ae28
hexffe6f0f30

68693200688 has 80 divisors (see below), whose sum is σ = 154427449344. Its totient is φ = 28994112000.

The previous prime is 68693200663. The next prime is 68693200691. The reversal of 68693200688 is 88600239686.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

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, 1931063 + ... + 1966313.

Almost surely, 268693200688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68693200688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77213724672).

68693200688 is an abundant number, since it is smaller than the sum of its proper divisors (85734248656).

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

68693200688 is a wasteful number, since it uses less digits than its factorization.

68693200688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35530 (or 35524 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 56.

The spelling of 68693200688 in words is "sixty-eight billion, six hundred ninety-three million, two hundred thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 137 254 274 508 548 889 959 1016 1096 1778 1918 2032 2192 3556 3836 7112 7672 14224 15344 17399 34798 35251 69596 70502 121793 139192 141004 243586 246757 278384 282008 487172 493514 564016 974344 987028 1948688 1974056 3948112 4476877 4829387 8953754 9658774 17907508 19317548 31338139 33805709 35815016 38635096 62676278 67611418 71630032 77270192 125352556 135222836 250705112 270445672 501410224 540891344 613332149 1226664298 2453328596 4293325043 4906657192 8586650086 9813314384 17173300172 34346600344 68693200688