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8680135350 = 23523592449
BaseRepresentation
bin10000001010110000…
…00101101010110110
3211101221012120012110
420011120011222312
5120234103312400
63553153231450
7425046635025
oct100530055266
924357176173
108680135350
11375478a187
121822b62586
13a84418883
145c4b508bc
1535c096e50
hex205605ab6

8680135350 has 72 divisors (see below), whose sum is σ = 21634943400. Its totient is φ = 2303114240.

The previous prime is 8680135339. The next prime is 8680135381. The reversal of 8680135350 is 535310868.

It is a junction number, because it is equal to n+sod(n) for n = 8680135299 and 8680135308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19331926 + ... + 19332374.

It is an arithmetic number, because the mean of its divisors is an integer number (300485325).

Almost surely, 28680135350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8680135350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10817471700).

8680135350 is an abundant number, since it is smaller than the sum of its proper divisors (12954808050).

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

8680135350 is a wasteful number, since it uses less digits than its factorization.

8680135350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 8680135350 is about 93167.2439755518. The cubic root of 8680135350 is about 2055.1435659611.

The spelling of 8680135350 in words is "eight billion, six hundred eighty million, one hundred thirty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 359 449 718 898 1077 1347 1795 2154 2245 2694 3590 4490 5385 6735 8975 10770 11225 13470 17950 22450 26925 33675 53850 67350 128881 161191 257762 322382 386643 483573 644405 773286 805955 967146 1288810 1611910 1933215 2417865 3222025 3866430 4029775 4835730 6444050 8059550 9666075 12089325 19332150 24178650 57867569 115735138 173602707 289337845 347205414 578675690 868013535 1446689225 1736027070 2893378450 4340067675 8680135350