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2159119512 = 2332115351437
BaseRepresentation
bin1000000010110001…
…1000110010011000
312120110202122011100
42000230120302120
513410213311022
6554125231400
7104335133034
oct20054306230
95513678140
102159119512
11a088484a0
12503102560
1328541a114
14166a791c4
15c98441ac
hex80b18c98

2159119512 has 96 divisors (see below), whose sum is σ = 6499705680. Its totient is φ = 641921280.

The previous prime is 2159119477. The next prime is 2159119531.

2159119512 is a `hidden beast` number, since 2 + 1 + 591 + 19 + 51 + 2 = 666.

2159119512 is nontrivially palindromic in base 10.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 16258 + ... + 67694.

Almost surely, 22159119512 is an apocalyptic number.

2159119512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2159119512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249852840).

2159119512 is an abundant number, since it is smaller than the sum of its proper divisors (4340586168).

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

2159119512 is a wasteful number, since it uses less digits than its factorization.

2159119512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51513 (or 51506 counting only the distinct ones).

The product of its digits is 8100, while the sum is 36.

The square root of 2159119512 is about 46466.3266462930. The cubic root of 2159119512 is about 1292.4851462688.

The spelling of 2159119512 in words is "two billion, one hundred fifty-nine million, one hundred nineteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 53 66 72 88 99 106 132 159 198 212 264 318 396 424 477 583 636 792 954 1166 1272 1749 1908 2332 3498 3816 4664 5247 6996 10494 13992 20988 41976 51437 102874 154311 205748 308622 411496 462933 565807 617244 925866 1131614 1234488 1697421 1851732 2263228 2726161 3394842 3703464 4526456 5092263 5452322 6789684 8178483 10184526 10904644 13579368 16356966 20369052 21809288 24535449 29987771 32713932 40738104 49070898 59975542 65427864 89963313 98141796 119951084 179926626 196283592 239902168 269889939 359853252 539779878 719706504 1079559756 2159119512