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68408483616 = 253211175921529
BaseRepresentation
bin111111101101011101…
…101001111100100000
320112120111122000211100
4333231131221330200
52110100032433431
651232035114400
74641140342124
oct775535517440
9215514560740
1068408483616
1127014895280
1211311a42a00
1365b27c2195
14344d4cd584
151ba5a3a4e6
hexfed769f20

68408483616 has 288 divisors, whose sum is σ = 228524587200. Its totient is φ = 19178864640.

The previous prime is 68408483527. The next prime is 68408483617. The reversal of 68408483616 is 61638480486.

68408483616 is a `hidden beast` number, since 68 + 40 + 8 + 483 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (68408483617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3166740 + ... + 3188268.

It is an arithmetic number, because the mean of its divisors is an integer number (793488150).

Almost surely, 268408483616 is an apocalyptic number.

68408483616 is a gapful number since it is divisible by the number (66) 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 68408483616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114262293600).

68408483616 is an abundant number, since it is smaller than the sum of its proper divisors (160116103584).

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

68408483616 is a wasteful number, since it uses less digits than its factorization.

68408483616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21632 (or 21621 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 68408483616 in words is "sixty-eight billion, four hundred eight million, four hundred eighty-three thousand, six hundred sixteen".