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5648194314 = 2397103199
BaseRepresentation
bin1010100001010100…
…01001101100001010
3112120122002000000000
411100222021230022
543031414204224
62332244223430
7256652600550
oct52052115412
915518060000
105648194314
112439292a94
12111769ab76
136c022ca19
143b81d1bd0
15230ce40c9
hex150a89b0a

5648194314 has 160 divisors (see below), whose sum is σ = 14738380800. Its totient is φ = 1590071472.

The previous prime is 5648194301. The next prime is 5648194319. The reversal of 5648194314 is 4134918465.

5648194314 is a `hidden beast` number, since 56 + 481 + 94 + 31 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5648194314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5648194319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28382787 + ... + 28382985.

It is an arithmetic number, because the mean of its divisors is an integer number (92114880).

Almost surely, 25648194314 is an apocalyptic number.

5648194314 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 5648194314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7369190400).

5648194314 is an abundant number, since it is smaller than the sum of its proper divisors (9090186486).

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

5648194314 is an equidigital number, since it uses as much as digits as its factorization.

5648194314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 314 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 5648194314 is about 75154.4696874378. The cubic root of 5648194314 is about 1780.8877356586.

The spelling of 5648194314 in words is "five billion, six hundred forty-eight million, one hundred ninety-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 103 126 162 189 199 206 243 309 378 398 486 567 597 618 721 729 927 1134 1194 1393 1442 1458 1701 1791 1854 2163 2187 2781 2786 3402 3582 4179 4326 4374 5103 5373 5562 6489 6561 8343 8358 10206 10746 12537 12978 13122 15309 16119 16686 19467 19683 20497 25029 25074 30618 32238 37611 38934 39366 40994 45927 48357 50058 58401 61491 75087 75222 91854 96714 112833 116802 122982 137781 143479 145071 150174 175203 184473 225261 225666 275562 286958 290142 338499 350406 368946 430437 435213 450522 525609 553419 675783 676998 860874 870426 1015497 1051218 1106838 1291311 1305639 1351566 1576827 1660257 2027349 2030994 2582622 2611278 3046491 3153654 3320514 3873933 3916917 4054698 4730481 4980771 6092982 7747866 7833834 9139473 9460962 9961542 11621799 14191443 14942313 18278946 23243598 27418419 28382886 29884626 34865397 44826939 54836838 69730794 89653878 104596191 134480817 209192382 268961634 313788573 403442451 627577146 806884902 941365719 1882731438 2824097157 5648194314