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2064108816 = 2432711186157
BaseRepresentation
bin111101100000111…
…1100110100010000
312022211222120222200
41323001330310100
513211402440231
6540453003200
7102102430650
oct17301746420
95284876880
102064108816
1196a154560
12497323500
1326b832583
141581c6360
15c1327be6
hex7b07cd10

2064108816 has 120 divisors (see below), whose sum is σ = 7202080704. Its totient is φ = 536129280.

The previous prime is 2064108779. The next prime is 2064108817. The reversal of 2064108816 is 6188014602.

2064108816 is a `hidden beast` number, since 2 + 0 + 641 + 0 + 8 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2064108817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81991 + ... + 104166.

Almost surely, 22064108816 is an apocalyptic number.

It is an amenable number.

2064108816 is an abundant number, since it is smaller than the sum of its proper divisors (5137971888).

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

2064108816 is a wasteful number, since it uses less digits than its factorization.

2064108816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186189 (or 186180 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2064108816 is about 45432.4643399409. The cubic root of 2064108816 is about 1273.2417267931.

The spelling of 2064108816 in words is "two billion, sixty-four million, one hundred eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 186157 372314 558471 744628 1116942 1303099 1489256 1675413 2047727 2233884 2606198 2978512 3350826 3909297 4095454 4467768 5212396 6143181 6701652 7818594 8190908 8935536 10424792 11727891 12286362 13403304 14334089 15637188 16381816 18429543 20849584 23455782 24572724 26806608 28668178 31274376 32763632 36859086 43002267 46911564 49145448 57336356 62548752 73718172 86004534 93823128 98290896 114672712 129006801 147436344 172009068 187646256 229345424 258013602 294872688 344018136 516027204 688036272 1032054408 2064108816