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2059716608 = 2112373599
BaseRepresentation
bin111101011000100…
…1100100000000000
312022112201110000022
41322301030200000
513204241412413
6540214513012
7102020205455
oct17261144000
95275643008
102059716608
11967724634
12495965768
1326a955331
141577a182c
15c0c5b608
hex7ac4c800

2059716608 has 96 divisors (see below), whose sum is σ = 4363632000. Its totient is φ = 969965568.

The previous prime is 2059716599. The next prime is 2059716611. The reversal of 2059716608 is 8066179502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3438293 + ... + 3438891.

It is an arithmetic number, because the mean of its divisors is an integer number (45454500).

Almost surely, 22059716608 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 2059716608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181816000).

2059716608 is an abundant number, since it is smaller than the sum of its proper divisors (2303915392).

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

2059716608 is an equidigital number, since it uses as much as digits as its factorization.

2059716608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 2059716608 is about 45384.1008283738. The cubic root of 2059716608 is about 1272.3379769857.

The spelling of 2059716608 in words is "two billion, fifty-nine million, seven hundred sixteen thousand, six hundred eight".

Divisors: 1 2 4 8 16 23 32 46 64 73 92 128 146 184 256 292 368 512 584 599 736 1024 1168 1198 1472 1679 2048 2336 2396 2944 3358 4672 4792 5888 6716 9344 9584 11776 13432 13777 18688 19168 23552 26864 27554 37376 38336 43727 47104 53728 55108 74752 76672 87454 107456 110216 149504 153344 174908 214912 220432 306688 349816 429824 440864 613376 699632 859648 881728 1005721 1226752 1399264 1719296 1763456 2011442 2798528 3438592 3526912 4022884 5597056 7053824 8045768 11194112 14107648 16091536 22388224 28215296 32183072 44776448 64366144 89552896 128732288 257464576 514929152 1029858304 2059716608