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68046273360 = 243251310767943
BaseRepresentation
bin111111010111110111…
…111011101101010000
320111122021001211202200
4333113313323231100
52103324321221420
651132055443200
74626151531422
oct772767735520
9214567054680
1068046273360
112694939035a
1211230686500
1365557523a0
143417364812
151b83d3db90
hexfd7dfbb50

68046273360 has 240 divisors, whose sum is σ = 248404351104. Its totient is φ = 16593067008.

The previous prime is 68046273343. The next prime is 68046273389. The reversal of 68046273360 is 6337264086.

68046273360 is a `hidden beast` number, since 68 + 0 + 462 + 73 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967549 + ... + 1035491.

Almost surely, 268046273360 is an apocalyptic number.

68046273360 is a gapful number since it is divisible by the number (60) 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 68046273360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124202175552).

68046273360 is an abundant number, since it is smaller than the sum of its proper divisors (180358077744).

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

68046273360 is a wasteful number, since it uses less digits than its factorization.

68046273360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68082 (or 68073 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 68046273360 in words is "sixty-eight billion, forty-six million, two hundred seventy-three thousand, three hundred sixty".