Search a number
-
+
12042132816 = 2437192382013
BaseRepresentation
bin10110011011100010…
…00101110101010000
31011002020101201201010
423031301011311100
5144130241222231
65310532410520
7604262303640
oct131561056520
934066351633
1012042132816
11511a51968a
122400a76a40
13119bac709c
14823468520
154a72e4546
hex2cdc45d50

12042132816 has 160 divisors (see below), whose sum is σ = 39051786240. Its totient is φ = 3117768192.

The previous prime is 12042132787. The next prime is 12042132821. The reversal of 12042132816 is 61823124021.

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, 105826 + ... + 187838.

It is an arithmetic number, because the mean of its divisors is an integer number (244073664).

Almost surely, 212042132816 is an apocalyptic number.

12042132816 is a gapful number since it is divisible by the number (16) 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 12042132816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19525893120).

12042132816 is an abundant number, since it is smaller than the sum of its proper divisors (27009653424).

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

12042132816 is a wasteful number, since it uses less digits than its factorization.

12042132816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82073 (or 82067 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 12042132816 its reverse (61823124021), we get a palindrome (73865256837).

The spelling of 12042132816 in words is "twelve billion, forty-two million, one hundred thirty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 23 24 28 38 42 46 48 56 57 69 76 84 92 112 114 133 138 152 161 168 184 228 266 276 304 322 336 368 399 437 456 483 532 552 644 798 874 912 966 1064 1104 1288 1311 1596 1748 1932 2128 2576 2622 3059 3192 3496 3864 5244 6118 6384 6992 7728 9177 10488 12236 18354 20976 24472 36708 48944 73416 82013 146832 164026 246039 328052 492078 574091 656104 984156 1148182 1312208 1558247 1722273 1886299 1968312 2296364 3116494 3444546 3772598 3936624 4592728 4674741 5658897 6232988 6889092 7545196 9185456 9349482 10907729 11317794 12465976 13204093 13778184 15090392 18698964 21815458 22635588 24931952 26408186 27556368 30180784 32723187 35839681 37397928 39612279 43630916 45271176 52816372 65446374 71679362 74795856 79224558 87261832 90542352 105632744 107519043 130892748 143358724 158449116 174523664 211265488 215038086 250877767 261785496 286717448 316898232 430076172 501755534 523570992 573434896 633796464 752633301 860152344 1003511068 1505266602 1720304688 2007022136 3010533204 4014044272 6021066408 12042132816