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67741069056 = 28317192331383
BaseRepresentation
bin111111000101101011…
…101010111100000000
320110211222202212011120
4333011223222330000
52102213203202211
651041514112240
74615454405103
oct770553527400
9213758685146
1067741069056
11268020818a1
121116641b680
13650745181b
1433c89d873a
151b67152d06
hexfc5aeaf00

67741069056 has 576 divisors, whose sum is σ = 217008046080. Its totient is φ = 18588303360.

The previous prime is 67741069049. The next prime is 67741069061. The reversal of 67741069056 is 65096014776.

It is a happy number.

It is a super-2 number, since 2×677410690562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 176869441 + ... + 176869823.

It is an arithmetic number, because the mean of its divisors is an integer number (376750080).

Almost surely, 267741069056 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 67741069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108504023040).

67741069056 is an abundant number, since it is smaller than the sum of its proper divisors (149266977024).

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

67741069056 is a wasteful number, since it uses less digits than its factorization.

67741069056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 67741069056 in words is "sixty-seven billion, seven hundred forty-one million, sixty-nine thousand, fifty-six".