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11712989904 = 24371131102229
BaseRepresentation
bin10101110100010011…
…00000101011010000
31010020022001112111220
422322021200223100
5142442011134104
65214134005040
7563154525420
oct127211405320
933208045456
1011712989904
114a7074a750
12232a7a6780
131148864475
147d186a480
1548847a7d9
hex2ba260ad0

11712989904 has 160 divisors (see below), whose sum is σ = 38942269440. Its totient is φ = 2944166400.

The previous prime is 11712989891. The next prime is 11712989923. The reversal of 11712989904 is 40998921711.

It is a happy number.

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, 63462 + ... + 165690.

It is an arithmetic number, because the mean of its divisors is an integer number (243389184).

Almost surely, 211712989904 is an apocalyptic number.

11712989904 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 11712989904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19471134720).

11712989904 is an abundant number, since it is smaller than the sum of its proper divisors (27229279536).

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

11712989904 is a wasteful number, since it uses less digits than its factorization.

11712989904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102289 (or 102283 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 51.

The spelling of 11712989904 in words is "eleven billion, seven hundred twelve million, nine hundred eighty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 31 33 42 44 48 56 62 66 77 84 88 93 112 124 132 154 168 176 186 217 231 248 264 308 336 341 372 434 462 496 528 616 651 682 744 868 924 1023 1232 1302 1364 1488 1736 1848 2046 2387 2604 2728 3472 3696 4092 4774 5208 5456 7161 8184 9548 10416 14322 16368 19096 28644 38192 57288 102229 114576 204458 306687 408916 613374 715603 817832 1124519 1226748 1431206 1635664 2146809 2249038 2453496 2862412 3169099 3373557 4293618 4498076 4906992 5724824 6338198 6747114 7871633 8587236 8996152 9507297 11449648 12676396 13494228 15743266 17174472 17992304 19014594 22183693 23614899 25352792 26988456 31486532 34348944 34860089 38029188 44367386 47229798 50705584 53976912 62973064 66551079 69720178 76058376 88734772 94459596 104580267 125946128 133102158 139440356 152116752 177469544 188919192 209160534 244020623 266204316 278880712 354939088 377838384 418321068 488041246 532408632 557761424 732061869 836642136 976082492 1064817264 1464123738 1673284272 1952164984 2928247476 3904329968 5856494952 11712989904