Search a number
-
+
12089124504 = 23331071633209
BaseRepresentation
bin10110100001001000…
…10110011010011000
31011012111211011012000
423100210112122120
5144224303441004
65315331521000
7605402601642
oct132044263230
934174734160
1012089124504
115143aa5196
122414759160
1311a876b112
148297bb892
154ab4c7c39
hex2d0916698

12089124504 has 128 divisors (see below), whose sum is σ = 34113312000. Its totient is φ = 3966319872.

The previous prime is 12089124493. The next prime is 12089124521. The reversal of 12089124504 is 40542198021.

12089124504 is a `hidden beast` number, since 1 + 20 + 8 + 9 + 124 + 504 = 666.

It is a super-2 number, since 2×120891245042 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3765652 + ... + 3768860.

It is an arithmetic number, because the mean of its divisors is an integer number (266510250).

Almost surely, 212089124504 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 12089124504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17056656000).

12089124504 is an abundant number, since it is smaller than the sum of its proper divisors (22024187496).

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

12089124504 is a wasteful number, since it uses less digits than its factorization.

12089124504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12089124504 in words is "twelve billion, eighty-nine million, one hundred twenty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 163 214 216 321 326 428 489 642 652 856 963 978 1284 1304 1467 1926 1956 2568 2889 2934 3209 3852 3912 4401 5778 5868 6418 7704 8802 9627 11556 11736 12836 17441 17604 19254 23112 25672 28881 34882 35208 38508 52323 57762 69764 77016 86643 104646 115524 139528 156969 173286 209292 231048 313938 343363 346572 418584 470907 523067 627876 686726 693144 941814 1030089 1046134 1255752 1373452 1569201 1883628 2060178 2092268 2746904 3090267 3138402 3767256 4120356 4184536 4707603 6180534 6276804 8240712 9270801 9415206 12361068 12553608 14122809 18541602 18830412 24722136 28245618 37083204 37660824 55968169 56491236 74166408 111936338 112982472 167904507 223872676 335809014 447745352 503713521 671618028 1007427042 1343236056 1511140563 2014854084 3022281126 4029708168 6044562252 12089124504