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67696076448 = 2532711131719727
BaseRepresentation
bin111111000011000000…
…000010011010100000
320110201212002222220200
4333003000002122200
52102120143421243
651033225505200
74614400104240
oct770300023240
9213655088820
1067696076448
1126789741220
1211153342200
1364cb02a690
1433c2a45b20
151b63216ad3
hexfc30026a0

67696076448 has 1152 divisors, whose sum is σ = 288480890880. Its totient is φ = 14452162560.

The previous prime is 67696076417. The next prime is 67696076453. The reversal of 67696076448 is 84467069676.

67696076448 is a `hidden beast` number, since 6 + 7 + 69 + 60 + 76 + 448 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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, 93116661 + ... + 93117387.

It is an arithmetic number, because the mean of its divisors is an integer number (250417440).

Almost surely, 267696076448 is an apocalyptic number.

67696076448 is a gapful number since it is divisible by the number (68) 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 67696076448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144240445440).

67696076448 is an abundant number, since it is smaller than the sum of its proper divisors (220784814432).

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

67696076448 is a wasteful number, since it uses less digits than its factorization.

67696076448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 67696076448 in words is "sixty-seven billion, six hundred ninety-six million, seventy-six thousand, four hundred forty-eight".