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10903098336 = 2531312768791
BaseRepresentation
bin10100010011110000…
…00001001111100000
31001010212002210010220
422021320001033200
5134312143121321
65001523123040
7534121543464
oct121170011740
931125083126
1010903098336
114695573179
122143513480
131049b2a1a0
147560884a4
1543c2ec9c6
hex289e013e0

10903098336 has 96 divisors (see below), whose sum is σ = 31065366528. Its totient is φ = 3328335360.

The previous prime is 10903098331. The next prime is 10903098379. The reversal of 10903098336 is 63389030901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10903098331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124101 + ... + 192891.

It is an arithmetic number, because the mean of its divisors is an integer number (323597568).

Almost surely, 210903098336 is an apocalyptic number.

10903098336 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 10903098336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15532683264).

10903098336 is an abundant number, since it is smaller than the sum of its proper divisors (20162268192).

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

10903098336 is a wasteful number, since it uses less digits than its factorization.

10903098336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68944 (or 68936 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The spelling of 10903098336 in words is "ten billion, nine hundred three million, ninety-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 127 156 208 254 312 381 416 508 624 762 1016 1248 1524 1651 2032 3048 3302 4064 4953 6096 6604 9906 12192 13208 19812 26416 39624 52832 68791 79248 137582 158496 206373 275164 412746 550328 825492 894283 1100656 1650984 1788566 2201312 2682849 3301968 3577132 5365698 6603936 7154264 8736457 10731396 14308528 17472914 21462792 26209371 28617056 34945828 42925584 52418742 69891656 85851168 104837484 113573941 139783312 209674968 227147882 279566624 340721823 419349936 454295764 681443646 838699872 908591528 1362887292 1817183056 2725774584 3634366112 5451549168 10903098336