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68048814200382 = 2333140650426643
BaseRepresentation
bin11110111100011110110010…
…11001011101011000111110
322220221101212212022020012000
433132033121121131120332
532404402432413403012
6400421105500123130
720222236024004661
oct1736173131353076
9286841785266160
1068048814200382
111a756381650604
1277703962364a6
132bc7c8b650592
1412b381a0316d8
157d018c229ddc
hex3de3d965d63e

68048814200382 has 32 divisors (see below), whose sum is σ = 156097638312960. Its totient is φ = 21951230386680.

The previous prime is 68048814200371. The next prime is 68048814200383. The reversal of 68048814200382 is 28300241884086.

68048814200382 is a `hidden beast` number, since 6 + 8 + 0 + 48 + 8 + 14 + 200 + 382 = 666.

It is a super-2 number, since 2×680488142003822 (a number of 28 digits) contains 22 as substring.

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 (68048814200383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20325211648 + ... + 20325214995.

It is an arithmetic number, because the mean of its divisors is an integer number (4878051197280).

Almost surely, 268048814200382 is an apocalyptic number.

68048814200382 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

68048814200382 is an abundant number, since it is smaller than the sum of its proper divisors (88048824112578).

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

68048814200382 is a wasteful number, since it uses less digits than its factorization.

68048814200382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40650426685 (or 40650426679 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 68048814200382 in words is "sixty-eight trillion, forty-eight billion, eight hundred fourteen million, two hundred thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 40650426643 81300853286 121951279929 243902559858 365853839787 731707679574 1097561519361 1260163225933 2195123038722 2520326451866 3780489677799 7560979355598 11341469033397 22682938066794 34024407100191 68048814200382