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12419090688 = 283191038263
BaseRepresentation
bin10111001000011110…
…00100100100000000
31012001111201011200210
423210033010210000
5200413241400223
65412200114120
7616520346324
oct134417044400
935044634623
1012419090688
1152a3286714
1224a7165940
13122bc2b694
1485b551984
154ca455893
hex2e43c4900

12419090688 has 144 divisors (see below), whose sum is σ = 35134561280. Its totient is φ = 3883272192.

The previous prime is 12419090681. The next prime is 12419090693. The reversal of 12419090688 is 88609091421.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12419090681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1498845 + ... + 1507107.

Almost surely, 212419090688 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 12419090688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17567280640).

12419090688 is an abundant number, since it is smaller than the sum of its proper divisors (22715470592).

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

12419090688 is a wasteful number, since it uses less digits than its factorization.

12419090688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8404 (or 8390 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 12419090688 in words is "twelve billion, four hundred nineteen million, ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 103 114 128 152 192 206 228 256 304 309 384 412 456 608 618 768 824 912 1216 1236 1648 1824 1957 2432 2472 3296 3648 3914 4864 4944 5871 6592 7296 7828 8263 9888 11742 13184 14592 15656 16526 19776 23484 24789 26368 31312 33052 39552 46968 49578 62624 66104 79104 93936 99156 125248 132208 156997 187872 198312 250496 264416 313994 375744 396624 470991 500992 528832 627988 751488 793248 851089 941982 1057664 1255976 1502976 1586496 1702178 1883964 2115328 2511952 2553267 3172992 3404356 3767928 5023904 5106534 6345984 6808712 7535856 10047808 10213068 13617424 15071712 16170691 20095616 20426136 27234848 30143424 32341382 40191232 40852272 48512073 54469696 60286848 64682764 81704544 97024146 108939392 120573696 129365528 163409088 194048292 217878784 258731056 326818176 388096584 517462112 653636352 776193168 1034924224 1552386336 2069848448 3104772672 4139696896 6209545344 12419090688