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10680758424 = 23327173122497
BaseRepresentation
bin10011111001001111…
…10111000010011000
31000120100201202010100
421330213313002120
5133333233232144
64523501415400
7525451643250
oct117447670230
930510652110
1010680758424
114591011986
1220a0b6a560
131012a506cb
1473472c960
15427a2e269
hex27c9f7098

10680758424 has 96 divisors (see below), whose sum is σ = 33250857120. Its totient is φ = 3033980928.

The previous prime is 10680758399. The next prime is 10680758441. The reversal of 10680758424 is 42485708601.

10680758424 is a `hidden beast` number, since 1 + 0 + 68 + 0 + 7 + 584 + 2 + 4 = 666.

It is a super-2 number, since 2×106807584242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10680758424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25944 + ... + 148440.

It is an arithmetic number, because the mean of its divisors is an integer number (346363095).

Almost surely, 210680758424 is an apocalyptic number.

10680758424 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 10680758424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16625428560).

10680758424 is an abundant number, since it is smaller than the sum of its proper divisors (22570098696).

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

10680758424 is a wasteful number, since it uses less digits than its factorization.

10680758424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122689 (or 122682 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 10680758424 in words is "ten billion, six hundred eighty million, seven hundred fifty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 173 252 346 504 519 692 1038 1211 1384 1557 2076 2422 3114 3633 4152 4844 6228 7266 9688 10899 12456 14532 21798 29064 43596 87192 122497 244994 367491 489988 734982 857479 979976 1102473 1469964 1714958 2204946 2572437 2939928 3429916 4409892 5144874 6859832 7717311 8819784 10289748 15434622 20579496 21191981 30869244 42383962 61738488 63575943 84767924 127151886 148343867 169535848 190727829 254303772 296687734 381455658 445031601 508607544 593375468 762911316 890063202 1186750936 1335094803 1525822632 1780126404 2670189606 3560252808 5340379212 10680758424