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2059171218 = 232133129157
BaseRepresentation
bin111101010111100…
…0111010110010010
312022111200201212200
41322233013112102
513204121434333
6540155104030
7102012444426
oct17257072622
95274621780
102059171218
119673918a5
12495742016
1326a7c4010
1415769cb86
15c0b9ec13
hex7abc7592

2059171218 has 72 divisors (see below), whose sum is σ = 4965266124. Its totient is φ = 613085760.

The previous prime is 2059171171. The next prime is 2059171241. The reversal of 2059171218 is 8121719502.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1743647049 + 315524169 = 41757^2 + 17763^2 .

It is a super-2 number, since 2×20591712182 = 8480372210079207048, which contains 22 as substring.

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, 220296 + ... + 229452.

Almost surely, 22059171218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2059171218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482633062).

2059171218 is an abundant number, since it is smaller than the sum of its proper divisors (2906094906).

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

2059171218 is a wasteful number, since it uses less digits than its factorization.

2059171218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9240 (or 9206 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 2059171218 is about 45378.0918285465. The cubic root of 2059171218 is about 1272.2256667674.

It can be divided in two parts, 20591 and 71218, that added together give a square (91809 = 3032).

The spelling of 2059171218 in words is "two billion, fifty-nine million, one hundred seventy-one thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 961 1209 1922 2418 2883 3627 5766 7254 8649 9157 12493 17298 18314 24986 27471 37479 54942 74958 82413 112437 119041 164826 224874 238082 283867 357123 567734 714246 851601 1071369 1703202 2142738 2554803 3690271 5109606 7380542 8799877 11070813 17599754 22141626 26399631 33212439 52799262 66424878 79198893 114398401 158397786 228796802 343195203 686390406 1029585609 2059171218