Search a number
-
+
12084478452 = 22372774987
BaseRepresentation
bin10110100000100101…
…01000000111110100
31011012012002010000000
423100102220013310
5144222111302302
65315044151300
7605315241414
oct132022500764
934165063000
1012084478452
115141411582
122413098530
1311a7802487
14828d2c644
154aadab31c
hex2d04a81f4

12084478452 has 96 divisors (see below), whose sum is σ = 31837805440. Its totient is φ = 4012812576.

The previous prime is 12084478447. The next prime is 12084478459. The reversal of 12084478452 is 25487448021.

12084478452 is a `hidden beast` number, since 120 + 8 + 4 + 4 + 78 + 452 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12084478398 and 12084478407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12084478459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2420703 + ... + 2425689.

Almost surely, 212084478452 is an apocalyptic number.

12084478452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12084478452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15918902720).

12084478452 is an abundant number, since it is smaller than the sum of its proper divisors (19753326988).

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

12084478452 is an equidigital number, since it uses as much as digits as its factorization.

12084478452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289 (or 5269 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 12084478452 in words is "twelve billion, eighty-four million, four hundred seventy-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 277 324 486 554 729 831 972 1108 1458 1662 2187 2493 2916 3324 4374 4986 4987 7479 8748 9972 9974 14958 14961 19948 22437 29916 29922 44874 44883 59844 67311 89748 89766 134622 134649 179532 201933 269244 269298 403866 403947 538596 605799 807732 807894 1211598 1211841 1381399 1615788 2423196 2423682 2762798 3635523 4144197 4847364 5525596 7271046 8288394 10906569 12432591 14542092 16576788 21813138 24865182 37297773 43626276 49730364 74595546 111893319 149191092 223786638 335679957 447573276 671359914 1007039871 1342719828 2014079742 3021119613 4028159484 6042239226 12084478452