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10304308896 = 2537109140677
BaseRepresentation
bin10011001100010111…
…10100011010100000
3222121010101010110020
421212023310122200
5132100400341041
64422253033440
7513231115620
oct114613643240
928533333406
1010304308896
114408571872
121bb6a85880
13c82a665cb
146da738880
1540496d866
hex2662f46a0

10304308896 has 96 divisors (see below), whose sum is σ = 31196753280. Its totient is φ = 2917057536.

The previous prime is 10304308843. The next prime is 10304308901. The reversal of 10304308896 is 69880340301.

It is a happy number.

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

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

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, 2910 + ... + 143586.

It is an arithmetic number, because the mean of its divisors is an integer number (324966180).

Almost surely, 210304308896 is an apocalyptic number.

10304308896 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 10304308896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15598376640).

10304308896 is an abundant number, since it is smaller than the sum of its proper divisors (20892444384).

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

10304308896 is a wasteful number, since it uses less digits than its factorization.

10304308896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140806 (or 140798 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 10304308896 in words is "ten billion, three hundred four million, three hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 109 112 168 218 224 327 336 436 654 672 763 872 1308 1526 1744 2289 2616 3052 3488 4578 5232 6104 9156 10464 12208 18312 24416 36624 73248 140677 281354 422031 562708 844062 984739 1125416 1688124 1969478 2250832 2954217 3376248 3938956 4501664 5908434 6752496 7877912 11816868 13504992 15333793 15755824 23633736 30667586 31511648 46001379 47267472 61335172 92002758 94534944 107336551 122670344 184005516 214673102 245340688 322009653 368011032 429346204 490681376 644019306 736022064 858692408 1288038612 1472044128 1717384816 2576077224 3434769632 5152154448 10304308896