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12095430704 = 24719311811013
BaseRepresentation
bin10110100001111000…
…11010000000110000
31011012221200112122222
423100330122000300
5144232412240304
65320115020212
7605510315240
oct132074320060
934187615588
1012095430704
115147612125
12241689a668
1311a9b685b6
1482a57db20
154abd214be
hex2d0f1a030

12095430704 has 160 divisors (see below), whose sum is σ = 29291458560. Its totient is φ = 4721587200.

The previous prime is 12095430701. The next prime is 12095430719. The reversal of 12095430704 is 40703459021.

It is not an unprimeable number, because it can be changed into a prime (12095430701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11939702 + ... + 11940714.

It is an arithmetic number, because the mean of its divisors is an integer number (183071616).

Almost surely, 212095430704 is an apocalyptic number.

12095430704 is a gapful number since it is divisible by the number (14) 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 12095430704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14645729280).

12095430704 is an abundant number, since it is smaller than the sum of its proper divisors (17196027856).

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

12095430704 is a wasteful number, since it uses less digits than its factorization.

12095430704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

Adding to 12095430704 its reverse (40703459021), we get a palindrome (52798889725).

The spelling of 12095430704 in words is "twelve billion, ninety-five million, four hundred thirty thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 56 62 76 112 124 133 152 181 217 248 266 304 362 434 496 532 589 724 868 1013 1064 1178 1267 1448 1736 2026 2128 2356 2534 2896 3439 3472 4052 4123 4712 5068 5611 6878 7091 8104 8246 9424 10136 11222 13756 14182 16208 16492 19247 20272 22444 24073 27512 28364 31403 32984 38494 39277 44888 48146 55024 56728 62806 65968 76988 78554 89776 96292 106609 113456 125612 134729 153976 157108 183353 192584 213218 219821 251224 269458 307952 314216 366706 385168 426436 439642 502448 538916 596657 628432 733412 746263 852872 879284 1077832 1193314 1283471 1466824 1492526 1705744 1758568 2155664 2386628 2566942 2933648 2985052 3483707 3517136 4176599 4773256 5133884 5683943 5970104 6967414 8353198 9546512 10267768 11367886 11940208 13934828 16706396 20535536 22735772 24385949 27869656 33412792 39787601 45471544 48771898 55739312 66825584 79575202 90943088 97543796 107994917 159150404 195087592 215989834 318300808 390175184 431979668 636601616 755964419 863959336 1511928838 1727918672 3023857676 6047715352 12095430704