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68964962976 = 25377313217
BaseRepresentation
bin100000000111010100…
…0011101001010100000
320121000021202010000000
41000032220131022200
52112220012303401
651403154300000
74661005341000
oct1001650351240
9217007663000
1068964962976
112727aa18478
1211448287600
136670b90900
1434a3388000
151bd980d186
hex100ea1d2a0

68964962976 has 1152 divisors, whose sum is σ = 272268864000. Its totient is φ = 17118646272.

The previous prime is 68964962971. The next prime is 68964962981. The reversal of 68964962976 is 67926946986.

68964962976 is a `hidden beast` number, since 68 + 9 + 6 + 496 + 2 + 9 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (68964962971) and next prime (68964962981).

It is a super-2 number, since 2×689649629762 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (423263232) is a multiple of the sum of its prime divisors (42).

It is not an unprimeable number, because it can be changed into a prime (68964962971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4056762520 + ... + 4056762536.

It is an arithmetic number, because the mean of its divisors is an integer number (236344500).

Almost surely, 268964962976 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 68964962976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136134432000).

68964962976 is an abundant number, since it is smaller than the sum of its proper divisors (203303901024).

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

68964962976 is an equidigital number, since it uses as much as digits as its factorization.

68964962976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 42 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 68964962976 in words is "sixty-eight billion, nine hundred sixty-four million, nine hundred sixty-two thousand, nine hundred seventy-six".