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10314533344 = 2519411492777
BaseRepresentation
bin10011001101100101…
…10100100111100000
3222121211121120202111
421212302310213200
5132111010031334
64423300125104
7513414041533
oct114662644740
928554546674
1010314533344
114413315625
121bba396794
13c84c0638b
146dbc3aa1a
154057dd064
hex266cb49e0

10314533344 has 96 divisors (see below), whose sum is σ = 22051764000. Its totient is φ = 4732968960.

The previous prime is 10314533329. The next prime is 10314533381. The reversal of 10314533344 is 44333541301.

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, 3712884 + ... + 3715660.

It is an arithmetic number, because the mean of its divisors is an integer number (229705875).

Almost surely, 210314533344 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 10314533344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11025882000).

10314533344 is an abundant number, since it is smaller than the sum of its proper divisors (11737230656).

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

10314533344 is a wasteful number, since it uses less digits than its factorization.

10314533344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The spelling of 10314533344 in words is "ten billion, three hundred fourteen million, five hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 41 76 82 149 152 164 298 304 328 596 608 656 779 1192 1312 1558 2384 2777 2831 3116 4768 5554 5662 6109 6232 11108 11324 12218 12464 22216 22648 24436 24928 44432 45296 48872 52763 88864 90592 97744 105526 113857 116071 195488 211052 227714 232142 413773 422104 455428 464284 827546 844208 910856 928568 1655092 1688416 1821712 1857136 2163283 3310184 3643424 3714272 4326566 6620368 7861687 8653132 13240736 15723374 16964693 17306264 31446748 33929386 34612528 62893496 67858772 69225056 125786992 135717544 251573984 271435088 322329167 542870176 644658334 1289316668 2578633336 5157266672 10314533344