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68728522752 = 2113219312
BaseRepresentation
bin100000000000010001…
…0100000100000000000
320120101210211200222200
41000000202200200000
52111224000212002
651323510433200
74652104542621
oct1000042404000
9216353750880
1068728522752
112716950642a
12113a1062800
136633bb8156
14347dbdba48
151bc3ba6b1c
hex10008a0800

68728522752 has 108 divisors (see below), whose sum is σ = 198603441855. Its totient is φ = 22897643520.

The previous prime is 68728522747. The next prime is 68728522763. The reversal of 68728522752 is 25722582786.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

68728522752 is a `hidden beast` number, since 68 + 7 + 2 + 8 + 522 + 7 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34364261376 + 34364261376 = 185376^2 + 185376^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=185376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35591227 + ... + 35593157.

Almost surely, 268728522752 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 68728522752

68728522752 is an abundant number, since it is smaller than the sum of its proper divisors (129874919103).

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

68728522752 is an frugal number, since it uses more digits than its factorization.

68728522752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 1936 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 68728522752 in words is "sixty-eight billion, seven hundred twenty-eight million, five hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1931 2048 2304 3072 3862 4608 5793 6144 7724 9216 11586 15448 17379 18432 23172 30896 34758 46344 61792 69516 92688 123584 139032 185376 247168 278064 370752 494336 556128 741504 988672 1112256 1483008 1977344 2224512 2966016 3728761 3954688 4449024 5932032 7457522 8898048 11186283 11864064 14915044 17796096 22372566 29830088 33558849 35592192 44745132 59660176 67117698 89490264 119320352 134235396 178980528 238640704 268470792 357961056 477281408 536941584 715922112 954562816 1073883168 1431844224 1909125632 2147766336 2863688448 3818251264 4295532672 5727376896 7636502528 8591065344 11454753792 17182130688 22909507584 34364261376 68728522752