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68077803456 = 26331329313371
BaseRepresentation
bin111111011001110000…
…001101011111000000
320111201110101201221000
4333121300031133000
52103410404202311
651135143332000
74630013532045
oct773160153700
9214643351830
1068077803456
1126965166393
121123b151000
13655c141950
14341b6111cc
151b869bb056
hexfd9c0d7c0

68077803456 has 448 divisors, whose sum is σ = 230223974400. Its totient is φ = 19566489600.

The previous prime is 68077803439. The next prime is 68077803467. The reversal of 68077803456 is 65430877086.

It is a Smith number, since the sum of its digits (54) 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 (54).

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, 20193451 + ... + 20196821.

It is an arithmetic number, because the mean of its divisors is an integer number (513892800).

Almost surely, 268077803456 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 68077803456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115111987200).

68077803456 is an abundant number, since it is smaller than the sum of its proper divisors (162146170944).

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

68077803456 is a wasteful number, since it uses less digits than its factorization.

68077803456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 68077803456 in words is "sixty-eight billion, seventy-seven million, eight hundred three thousand, four hundred fifty-six".