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68235036768 = 25331071993709
BaseRepresentation
bin111111100011001000…
…000000100001100000
320112010102021000111000
4333203020000201200
52104221132134033
651202521352000
74633633146153
oct774310004140
9215112230430
1068235036768
1126a35999078
1211283938600
1365858a4002
14343445dc9a
151b956c8a13
hexfe3200860

68235036768 has 192 divisors, whose sum is σ = 201942720000. Its totient is φ = 22413169152.

The previous prime is 68235036761. The next prime is 68235036839. The reversal of 68235036768 is 86763053286.

68235036768 is a `hidden beast` number, since 68 + 2 + 3 + 503 + 6 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68235036761) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18395298 + ... + 18399006.

It is an arithmetic number, because the mean of its divisors is an integer number (1051785000).

Almost surely, 268235036768 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 68235036768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100971360000).

68235036768 is an abundant number, since it is smaller than the sum of its proper divisors (133707683232).

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

68235036768 is a wasteful number, since it uses less digits than its factorization.

68235036768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 68235036768 in words is "sixty-eight billion, two hundred thirty-five million, thirty-six thousand, seven hundred sixty-eight".