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641161132050 = 235253328711
BaseRepresentation
bin10010101010010000010…
…11100111100000010010
32021021221121210012201110
421111020023213200102
541001044222211200
61210313444114150
764215366462315
oct11251013474022
92237847705643
10641161132050
11227a078202aa
12a4317695956
13485cc445a4a
1423064b4497c
1511a28763b50
hex95482e7812

641161132050 has 96 divisors (see below), whose sum is σ = 1620714303360. Its totient is φ = 167744491200.

The previous prime is 641161132013. The next prime is 641161132093. The reversal of 641161132050 is 50231161146.

It is a happy number.

It is a super-2 number, since 2×6411611320502 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 641161131999 and 641161132017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22317195 + ... + 22345905.

It is an arithmetic number, because the mean of its divisors is an integer number (16882440660).

Almost surely, 2641161132050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641161132050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810357151680).

641161132050 is an abundant number, since it is smaller than the sum of its proper divisors (979553171310).

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

641161132050 is an equidigital number, since it uses as much as digits as its factorization.

641161132050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28885 (or 28774 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 641161132050 its reverse (50231161146), we get a palindrome (691392293196).

The spelling of 641161132050 in words is "six hundred forty-one billion, one hundred sixty-one million, one hundred thirty-two thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 53 75 106 150 159 265 318 530 795 1325 1590 2650 2809 3975 5618 7950 8427 14045 16854 28090 28711 42135 57422 70225 84270 86133 140450 143555 148877 172266 210675 287110 297754 421350 430665 446631 717775 744385 861330 893262 1435550 1488770 1521683 2153325 2233155 3043366 3721925 4306650 4466310 4565049 7443850 7608415 9130098 11165775 15216830 22331550 22825245 38042075 45650490 76084150 80649199 114126225 161298398 228252450 241947597 403245995 483895194 806491990 1209737985 2016229975 2419475970 4032459950 4274407547 6048689925 8548815094 12097379850 12823222641 21372037735 25646445282 42744075470 64116113205 106860188675 128232226410 213720377350 320580566025 641161132050