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10603981248 = 263758713441
BaseRepresentation
bin10011110000000101…
…11110100111000000
31000101000021001122020
421320002332213000
5133204104344443
64512120041440
7523530232140
oct117002764700
930330231566
1010603981248
114551742073
12207b303280
13cccb7b223
14728464920
15420e15583
hex2780be9c0

10603981248 has 112 divisors (see below), whose sum is σ = 32121433344. Its totient is φ = 3024322560.

The previous prime is 10603981229. The next prime is 10603981277. The reversal of 10603981248 is 84218930601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×106039812482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 782208 + ... + 795648.

It is an arithmetic number, because the mean of its divisors is an integer number (286798512).

Almost surely, 210603981248 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 10603981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16060716672).

10603981248 is an abundant number, since it is smaller than the sum of its proper divisors (21517452096).

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

10603981248 is a wasteful number, since it uses less digits than its factorization.

10603981248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14050 (or 14040 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 10603981248 in words is "ten billion, six hundred three million, nine hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 587 672 1174 1344 1761 2348 3522 4109 4696 7044 8218 9392 12327 13441 14088 16436 18784 24654 26882 28176 32872 37568 40323 49308 53764 56352 65744 80646 94087 98616 107528 112704 131488 161292 188174 197232 215056 262976 282261 322584 376348 394464 430112 564522 645168 752696 788928 860224 1129044 1290336 1505392 2258088 2580672 3010784 4516176 6021568 7889867 9032352 15779734 18064704 23669601 31559468 47339202 55229069 63118936 94678404 110458138 126237872 165687207 189356808 220916276 252475744 331374414 378713616 441832552 504951488 662748828 757427232 883665104 1325497656 1514854464 1767330208 2650995312 3534660416 5301990624 10603981248