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641036163700 = 2252291933173613
BaseRepresentation
bin10010101010000001011…
…10111001101001110100
32021021121220122011101001
421111000232321221310
541000320224214300
61210253221413044
764212321326152
oct11250056715164
92237556564331
10641036163700
11227953225779
12a42a186a184
13485ac59c58a
14230522d43d2
1511a1c7cb16a
hex9540bb9a74

641036163700 has 144 divisors (see below), whose sum is σ = 1451436320880. Its totient is φ = 245444935680.

The previous prime is 641036163697. The next prime is 641036163707. The reversal of 641036163700 is 7361630146.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 629613684324 + 11422479376 = 793482^2 + 106876^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 641036163700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641036163707) by changing a digit.

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, 177423094 + ... + 177426706.

It is an arithmetic number, because the mean of its divisors is an integer number (10079418895).

Almost surely, 2641036163700 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 641036163700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725718160440).

641036163700 is an abundant number, since it is smaller than the sum of its proper divisors (810400157180).

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

641036163700 is a wasteful number, since it uses less digits than its factorization.

641036163700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

Adding to 641036163700 its reverse (7361630146), we get a palindrome (648397793846).

The spelling of 641036163700 in words is "six hundred forty-one billion, thirty-six million, one hundred sixty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 193 290 317 386 580 634 725 772 965 1268 1450 1585 1930 2900 3170 3613 3860 4825 5597 6340 7226 7925 9193 9650 11194 14452 15850 18065 18386 19300 22388 27985 31700 36130 36772 45965 55970 61181 72260 90325 91930 104777 111940 122362 139925 180650 183860 209554 229825 244724 279850 305905 361300 419108 459650 523885 559700 611810 697309 919300 1047770 1145321 1223620 1394618 1529525 1774249 2095540 2290642 2619425 2789236 3059050 3486545 3548498 4581284 5238850 5726605 6118100 6973090 7096996 8871245 10477700 11453210 13946180 17432725 17742490 20221961 22906420 28633025 33214309 34865450 35484980 40443922 44356225 57266050 66428618 69730900 80887844 88712450 101109805 114532100 132857236 166071545 177424900 202219610 221046953 332143090 404439220 442093906 505549025 664286180 830357725 884187812 1011098050 1105234765 1660715450 2022196100 2210469530 3321430900 4420939060 5526173825 6410361637 11052347650 12820723274 22104695300 25641446548 32051808185 64103616370 128207232740 160259040925 320518081850 641036163700