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45030682998 = 2347436115139
BaseRepresentation
bin101001111100000010…
…011011000101110110
311022020021011201020000
4221330002123011312
51214210323323443
632404203452130
73152621330040
oct517402330566
9138207151200
1045030682998
11181087126a4
128888827046
134328394c72
142272778a90
15128849e8d3
hexa7c09b176

45030682998 has 160 divisors (see below), whose sum is σ = 119940775680. Its totient is φ = 12359874240.

The previous prime is 45030682997. The next prime is 45030683039. The reversal of 45030682998 is 89928603054.

45030682998 is a `hidden beast` number, since 45 + 0 + 306 + 8 + 299 + 8 = 666.

45030682998 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×450306829982 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45030682997) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2966913 + ... + 2982051.

It is an arithmetic number, because the mean of its divisors is an integer number (749629848).

Almost surely, 245030682998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45030682998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59970387840).

45030682998 is an abundant number, since it is smaller than the sum of its proper divisors (74910092682).

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

45030682998 is a wasteful number, since it uses less digits than its factorization.

45030682998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15264 (or 15255 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 45030682998 in words is "forty-five billion, thirty million, six hundred eighty-two thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 61 63 81 86 122 126 129 162 183 189 258 301 366 378 387 427 549 567 602 774 854 903 1098 1134 1161 1281 1647 1806 2322 2562 2623 2709 3294 3483 3843 4941 5246 5418 6966 7686 7869 8127 9882 11529 15139 15738 16254 18361 23058 23607 24381 30278 34587 36722 45417 47214 48762 55083 69174 70821 90834 105973 110166 136251 141642 165249 211946 212463 272502 317919 330498 408753 424926 495747 635838 650977 817506 923479 953757 991494 1226259 1301954 1487241 1846958 1907514 1952931 2452518 2770437 2861271 2974482 3905862 4556839 5540874 5722542 5858793 6464353 8311311 8583813 9113678 11717586 12928706 13670517 16622622 17167626 17576379 19393059 24933933 27341034 35152758 38786118 39709597 41011551 49867866 52729137 58179177 74801799 79419194 82023102 105458274 116358354 119128791 123034653 149603598 174537531 238257582 246069306 277967179 349075062 357386373 369103959 523612593 555934358 714772746 738207918 833901537 1047225186 1072159119 1667803074 2144318238 2501704611 3216477357 5003409222 6432954714 7505113833 15010227666 22515341499 45030682998