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5653200114 = 235311033643
BaseRepresentation
bin1010100001111010…
…01111110011110010
3112120222111022200000
411100331033303302
543034204400424
62332543410430
7260043256662
oct52075176362
915528438600
105653200114
1124410a1a11
1211192b3a16
136c1293333
143b8b361a2
152314823c9
hex150f4fcf2

5653200114 has 96 divisors (see below), whose sum is σ = 13242937344. Its totient is φ = 1805412240.

The previous prime is 5653200103. The next prime is 5653200143. The reversal of 5653200114 is 4110023565.

5653200114 is a `hidden beast` number, since 5 + 653 + 2 + 0 + 0 + 1 + 1 + 4 = 666.

It is a super-2 number, since 2×56532001142 = 63917343057859225992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1549977 + ... + 1553619.

It is an arithmetic number, because the mean of its divisors is an integer number (137947264).

Almost surely, 25653200114 is an apocalyptic number.

5653200114 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5653200114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621468672).

5653200114 is an abundant number, since it is smaller than the sum of its proper divisors (7589737230).

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

5653200114 is a wasteful number, since it uses less digits than its factorization.

5653200114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5653200114 is about 75187.7657202287. The cubic root of 5653200114 is about 1781.4136934550.

Adding to 5653200114 its reverse (4110023565), we get a palindrome (9763223679).

The spelling of 5653200114 in words is "five billion, six hundred fifty-three million, two hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 103 162 186 206 243 279 309 486 558 618 837 927 1674 1854 2511 2781 3193 3643 5022 5562 6386 7286 7533 8343 9579 10929 15066 16686 19158 21858 25029 28737 32787 50058 57474 65574 86211 98361 112933 172422 196722 225866 258633 295083 338799 375229 517266 590166 677598 750458 775899 885249 1016397 1125687 1551798 1770498 2032794 2251374 3049191 3377061 6098382 6754122 9147573 10131183 11632099 18295146 20262366 23264198 27442719 30393549 34896297 54885438 60787098 69792594 91180647 104688891 182361294 209377782 314066673 628133346 942200019 1884400038 2826600057 5653200114