Search a number
-
+
645065781880 = 235137344937847
BaseRepresentation
bin10010110001100001110…
…10101011001001111000
32021200000202001222022211
421120300322223021320
541032043320010010
61212201130224504
764414221451132
oct11306072531170
92250022058284
10645065781880
112296308a9533
12a5027285134
1348aa2391230
1423315558052
1511ba645208a
hex9630eab278

645065781880 has 128 divisors (see below), whose sum is σ = 1588026384000. Its totient is φ = 234386030592.

The previous prime is 645065781853. The next prime is 645065781907. The reversal of 645065781880 is 88187560546.

It is an interprime number because it is at equal distance from previous prime (645065781853) and next prime (645065781907).

It is a super-2 number, since 2×6450657818802 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 17025117 + ... + 17062963.

It is an arithmetic number, because the mean of its divisors is an integer number (12406456125).

Almost surely, 2645065781880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645065781880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794013192000).

645065781880 is an abundant number, since it is smaller than the sum of its proper divisors (942960602120).

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

645065781880 is a wasteful number, since it uses less digits than its factorization.

645065781880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38393 (or 38389 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 58.

The spelling of 645065781880 in words is "six hundred forty-five billion, sixty-five million, seven hundred eighty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 73 104 130 146 260 292 365 449 520 584 730 898 949 1460 1796 1898 2245 2920 3592 3796 4490 4745 5837 7592 8980 9490 11674 17960 18980 23348 29185 32777 37847 37960 46696 58370 65554 75694 116740 131108 151388 163885 189235 233480 262216 302776 327770 378470 426101 492011 655540 756940 852202 984022 1311080 1513880 1704404 1968044 2130505 2460055 2762831 3408808 3936088 4261010 4920110 5525662 8522020 9840220 11051324 13814155 16993303 17044040 19680440 22102648 27628310 33986606 35916803 55256620 67973212 71833606 84966515 110513240 135946424 143667212 169933030 179584015 220912939 287334424 339866060 359168030 441825878 679732120 718336060 883651756 1104564695 1240511119 1436672120 1767303512 2209129390 2481022238 4418258780 4962044476 6202555595 8836517560 9924088952 12405111190 16126644547 24810222380 32253289094 49620444760 64506578188 80633222735 129013156376 161266445470 322532890940 645065781880