Search a number
-
+
16682522976 = 2532773113357
BaseRepresentation
bin11111000100101101…
…10001100101100000
31121001122002222022100
433202112301211200
5233131211213401
611355220210400
71130260051140
oct174226614540
947048088270
1016682522976
117090938479
123296b39a00
13175b2b6692
14b4387a920
156798b4b86
hex3e25b1960

16682522976 has 144 divisors (see below), whose sum is σ = 54961399584. Its totient is φ = 4701100032.

The previous prime is 16682522971. The next prime is 16682523019. The reversal of 16682522976 is 67922528661.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16682522971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90490 + ... + 203846.

It is an arithmetic number, because the mean of its divisors is an integer number (381676386).

Almost surely, 216682522976 is an apocalyptic number.

16682522976 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 16682522976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27480699792).

16682522976 is an abundant number, since it is smaller than the sum of its proper divisors (38278876608).

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

16682522976 is a wasteful number, since it uses less digits than its factorization.

16682522976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113453 (or 113442 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 16682522976 in words is "sixteen billion, six hundred eighty-two million, five hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 73 84 96 112 126 144 146 168 219 224 252 288 292 336 438 504 511 584 657 672 876 1008 1022 1168 1314 1533 1752 2016 2044 2336 2628 3066 3504 4088 4599 5256 6132 7008 8176 9198 10512 12264 16352 18396 21024 24528 36792 49056 73584 113357 147168 226714 340071 453428 680142 793499 906856 1020213 1360284 1586998 1813712 2040426 2380497 2720568 3173996 3627424 4080852 4760994 5441136 6347992 7141491 8161704 8275061 9521988 10882272 12695984 14282982 16323408 16550122 19043976 24825183 25391968 28565964 32646816 33100244 38087952 49650366 57131928 57925427 66200488 74475549 76175904 99300732 114263856 115850854 132400976 148951098 173776281 198601464 228527712 231701708 264801952 297902196 347552562 397202928 463403416 521328843 595804392 695105124 794405856 926806832 1042657686 1191608784 1390210248 1853613664 2085315372 2383217568 2780420496 4170630744 5560840992 8341261488 16682522976