Search a number
-
+
804708021132 = 2232372716433467
BaseRepresentation
bin10111011010111000101…
…01011111001110001100
32211221002111002222211200
423231130111133032030
5101141020223134012
61413402221345500
7112065262215111
oct13553425371614
92757074088750
10804708021132
11290302776754
1210bb5b108290
135ab644883b2
142ad3b740908
1515deb7c13dc
hexbb5c55f38c

804708021132 has 144 divisors (see below), whose sum is σ = 2100674913792. Its totient is φ = 259544062080.

The previous prime is 804708021127. The next prime is 804708021163. The reversal of 804708021132 is 231120807408.

804708021132 is a `hidden beast` number, since 80 + 470 + 80 + 2 + 1 + 1 + 32 = 666.

It is a super-2 number, since 2×8047080211322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 232103263 + ... + 232106729.

Almost surely, 2804708021132 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 804708021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050337456896).

804708021132 is an abundant number, since it is smaller than the sum of its proper divisors (1295966892660).

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

804708021132 is a wasteful number, since it uses less digits than its factorization.

804708021132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428 (or 4423 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 804708021132 in words is "eight hundred four billion, seven hundred eight million, twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 271 333 444 542 643 666 813 1084 1286 1332 1626 1929 2439 2572 3252 3467 3858 4878 5787 6934 7716 9756 10027 10401 11574 13868 20054 20802 23148 23791 30081 31203 40108 41604 47582 60162 62406 71373 90243 95164 120324 124812 128279 142746 174253 180486 214119 256558 285492 348506 360972 384837 428238 513116 522759 697012 769674 856476 939557 1045518 1154511 1539348 1568277 1879114 2091036 2229281 2309022 2818671 3136554 3758228 4458562 4618044 5637342 6273108 6447361 6687843 8456013 8917124 11274684 12894722 13375686 16912026 19342083 20063529 25789444 26751372 33824052 34763609 38684166 40127058 58026249 69527218 77368332 80254116 82483397 104290827 116052498 139054436 164966794 208581654 232104996 247450191 312872481 329933588 417163308 494900382 604135151 625744962 742350573 989800764 1208270302 1251489924 1484701146 1812405453 2416540604 2969402292 3624810906 5437216359 7249621812 10874432718 21748865436 22353000587 44706001174 67059001761 89412002348 134118003522 201177005283 268236007044 402354010566 804708021132