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86754321640 = 2357266532
BaseRepresentation
bin101000011001011110…
…1011110010011101000
322021221001120011102201
41100302331132103220
52410133101243030
6103504314105544
76160565365300
oct1206275362350
9267831504381
1086754321640
1133879609988
1214991a1b2b4
13824757c43c
1442adc22600
1523cb4592ca
hex1432f5e4e8

86754321640 has 72 divisors (see below), whose sum is σ = 227100293190. Its totient is φ = 29739868032.

The previous prime is 86754321617. The next prime is 86754321649. The reversal of 86754321640 is 4612345768.

It can be written as a sum of positive squares in 3 ways, for example, as 18354288484 + 68400033156 = 135478^2 + 261534^2 .

It is not an unprimeable number, because it can be changed into a prime (86754321649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13036554 + ... + 13043206.

Almost surely, 286754321640 is an apocalyptic number.

It is an amenable number.

86754321640 is an abundant number, since it is smaller than the sum of its proper divisors (140345971550).

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

86754321640 is an frugal number, since it uses more digits than its factorization.

86754321640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13331 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 86754321640 in words is "eighty-six billion, seven hundred fifty-four million, three hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 6653 13306 26612 33265 46571 53224 66530 93142 133060 186284 232855 266120 325997 372568 465710 651994 931420 1303988 1629985 1862840 2607976 3259970 6519940 13039880 44262409 88524818 177049636 221312045 309836863 354099272 442624090 619673726 885248180 1239347452 1549184315 1770496360 2168858041 2478694904 3098368630 4337716082 6196737260 8675432164 10844290205 12393474520 17350864328 21688580410 43377160820 86754321640