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68749684054632 = 23337192393124619
BaseRepresentation
bin11111010000111000010000…
…11111110001101001101000
3100000102101221200120210122000
433220130020133301221220
533002343323104222012
6402115100245331000
720324000155323510
oct1750341037615150
9300371850523560
1068749684054632
111a9a6639391609
127864196106a60
132c490b508a779
1412d9706a86840
157e350c856ddc
hex3e87087f1a68

68749684054632 has 128 divisors (see below), whose sum is σ = 229739963520000. Its totient is φ = 18608937029568.

The previous prime is 68749684054547. The next prime is 68749684054637. The reversal of 68749684054632 is 23645048694786.

68749684054632 is a `hidden beast` number, since 6 + 8 + 7 + 4 + 9 + 6 + 8 + 40 + 546 + 32 = 666.

68749684054632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×687496840546322 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) 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 (72).

It is not an unprimeable number, because it can be changed into a prime (68749684054637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1196533582 + ... + 1196591037.

It is an arithmetic number, because the mean of its divisors is an integer number (1794843465000).

Almost surely, 268749684054632 is an apocalyptic number.

It is an amenable number.

68749684054632 is an abundant number, since it is smaller than the sum of its proper divisors (160990279465368).

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

68749684054632 is a wasteful number, since it uses less digits than its factorization.

68749684054632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393124660 (or 2393124650 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 72.

The spelling of 68749684054632 in words is "sixty-eight trillion, seven hundred forty-nine billion, six hundred eighty-four million, fifty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3192 3591 4104 4788 7182 9576 14364 28728 2393124619 4786249238 7179373857 9572498476 14358747714 16751872333 19144996952 21538121571 28717495428 33503744666 43076243142 45469367761 50255616999 57434990856 64614364713 67007489332 86152486284 90938735522 100511233998 129228729426 134014978664 136408103283 150766850997 172304972568 181877471044 201022467996 258457458852 272816206566 301533701994 318285574327 363754942088 402044935992 409224309849 452300552991 516914917704 545632413132 603067403988 636571148654 818448619698 904601105982 954856722981 1091264826264 1206134807976 1227672929547 1273142297308 1636897239396 1809202211964 1909713445962 2455345859094 2546284594616 2864570168943 3273794478792 3618404423928 3819426891924 4910691718188 5729140337886 7638853783848 8593710506829 9821383436376 11458280675772 17187421013658 22916561351544 34374842027316 68749684054632