Search a number
-
+
10684331392 = 27773379431
BaseRepresentation
bin10011111001101010…
…11111010110000000
31000120121110021022111
421330311133112000
5133340142101032
64524110145104
7525524214130
oct117465372600
930517407274
1010684331392
114593032349
1220a21b2194
131013701aa7
14734dbcac0
15427ed7c47
hex27cd5f580

10684331392 has 128 divisors (see below), whose sum is σ = 24781593600. Its totient is φ = 4493905920.

The previous prime is 10684331387. The next prime is 10684331423. The reversal of 10684331392 is 29313348601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106843313922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24789417 + ... + 24789847.

It is an arithmetic number, because the mean of its divisors is an integer number (193606200).

Almost surely, 210684331392 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 10684331392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12390796800).

10684331392 is an abundant number, since it is smaller than the sum of its proper divisors (14097262208).

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

10684331392 is an equidigital number, since it uses as much as digits as its factorization.

10684331392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

Adding to 10684331392 its reverse (29313348601), we get a palindrome (39997679993).

The spelling of 10684331392 in words is "ten billion, six hundred eighty-four million, three hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 292 379 431 448 511 584 758 862 896 1022 1168 1516 1724 2044 2336 2653 3017 3032 3448 4088 4672 5306 6034 6064 6896 8176 9344 10612 12068 12128 13792 16352 21224 24136 24256 27584 27667 31463 32704 42448 48272 48512 55168 55334 62926 65408 84896 96544 110668 125852 163349 169792 193088 193669 220241 221336 251704 326698 339584 386176 387338 440482 442672 503408 653396 774676 880964 885344 1006816 1143443 1306792 1549352 1761928 1770688 2013632 2286886 2613584 3098704 3523856 3541376 4027264 4573772 5227168 6197408 7047712 9147544 10454336 11924477 12394816 14095424 18295088 20908672 23848954 24789632 28190848 36590176 47697908 73180352 83471339 95395816 146360704 166942678 190791632 333885356 381583264 667770712 763166528 1335541424 1526333056 2671082848 5342165696 10684331392