Search a number
-
+
87288213312 = 2632751201787
BaseRepresentation
bin101000101001011001…
…0000110111101000000
322100022021011200010100
41101102302012331000
52412231240311222
6104033305202400
76210040366626
oct1212262067500
9270267150110
1087288213312
1134022a14673
1214b00790400
13830106c981
144320abb516
15240d2694ac
hex1452c86f40

87288213312 has 84 divisors (see below), whose sum is σ = 250530294976. Its totient is φ = 29057184000.

The previous prime is 87288213289. The next prime is 87288213323. The reversal of 87288213312 is 21331288278.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331683 + ... + 533469.

Almost surely, 287288213312 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 87288213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125265147488).

87288213312 is an abundant number, since it is smaller than the sum of its proper divisors (163242081664).

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

87288213312 is a wasteful number, since it uses less digits than its factorization.

87288213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202556 (or 202543 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 87288213312 in words is "eighty-seven billion, two hundred eighty-eight million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 751 1502 2253 3004 4506 6008 6759 9012 12016 13518 18024 24032 27036 36048 48064 54072 72096 108144 144192 201787 216288 403574 432576 605361 807148 1210722 1614296 1816083 2421444 3228592 3632166 4842888 6457184 7264332 9685776 12914368 14528664 19371552 29057328 38743104 58114656 116229312 151542037 303084074 454626111 606168148 909252222 1212336296 1363878333 1818504444 2424672592 2727756666 3637008888 4849345184 5455513332 7274017776 9698690368 10911026664 14548035552 21822053328 29096071104 43644106656 87288213312