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2059418088 = 2333713104773
BaseRepresentation
bin111101011000000…
…0011100111101000
312022112011021112000
41322300003213220
513204202334323
6540204251000
7102014523240
oct17260034750
95275137460
102059418088
11967540322
12495840a60
1326a87c4b0
14157724b20
15c0bece43
hex7ac039e8

2059418088 has 128 divisors (see below), whose sum is σ = 7040812800. Its totient is φ = 543138048.

The previous prime is 2059418087. The next prime is 2059418089. The reversal of 2059418088 is 8808149502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2059418087) and next prime (2059418089).

It is a super-2 number, since 2×20594180882 = 8482405722363151488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2059418083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32731 + ... + 72042.

It is an arithmetic number, because the mean of its divisors is an integer number (55006350).

Almost surely, 22059418088 is an apocalyptic number.

2059418088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2059418088 is an abundant number, since it is smaller than the sum of its proper divisors (4981394712).

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

2059418088 is a wasteful number, since it uses less digits than its factorization.

2059418088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104808 (or 104798 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 2059418088 is about 45380.8118922524. The cubic root of 2059418088 is about 1272.2765062827.

The spelling of 2059418088 in words is "two billion, fifty-nine million, four hundred eighteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 104773 209546 314319 419092 628638 733411 838184 942957 1257276 1362049 1466822 1885914 2200233 2514552 2724098 2828871 2933644 3771828 4086147 4400466 5448196 5657742 5867288 6600699 7543656 8172294 8800932 9534343 10896392 11315484 12258441 13201398 16344588 17601864 19068686 19802097 22630968 24516882 26402796 28603029 32689176 36775323 38137372 39604194 49033764 52805592 57206058 73550646 76274744 79208388 85809087 98067528 114412116 147101292 158416776 171618174 228824232 257427261 294202584 343236348 514854522 686472696 1029709044 2059418088