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130413444066 = 23323197533009
BaseRepresentation
bin111100101110100111…
…1110011101111100010
3110110121201220101021000
41321131033303233202
54114041320202231
6135524444412430
712264523661433
oct1713517635742
9413551811230
10130413444066
1150342a97844
1221337247116
13c3b47424a9
14645236d48a
1535d42d06e6
hex1e5d3f3be2

130413444066 has 64 divisors (see below), whose sum is σ = 303943622400. Its totient is φ = 41369948928.

The previous prime is 130413444047. The next prime is 130413444079. The reversal of 130413444066 is 660444314031.

130413444066 is a `hidden beast` number, since 1 + 304 + 1 + 344 + 4 + 0 + 6 + 6 = 666.

It is a super-2 number, since 2×1304134440662 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130413444066.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21831 + ... + 511178.

It is an arithmetic number, because the mean of its divisors is an integer number (4749119100).

Almost surely, 2130413444066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130413444066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151971811200).

130413444066 is an abundant number, since it is smaller than the sum of its proper divisors (173530178334).

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

130413444066 is a wasteful number, since it uses less digits than its factorization.

130413444066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533240 (or 533234 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 130413444066 its reverse (660444314031), we get a palindrome (790857758097).

The spelling of 130413444066 in words is "one hundred thirty billion, four hundred thirteen million, four hundred forty-four thousand, sixty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 197 207 394 414 591 621 1182 1242 1773 3546 4531 5319 9062 10638 13593 27186 40779 81558 122337 244674 533009 1066018 1599027 3198054 4797081 9594162 12259207 14391243 24518414 28782486 36777621 73555242 105002773 110332863 210005546 220665726 315008319 330998589 630016638 661997178 945024957 1890049914 2415063779 2835074871 4830127558 5670149742 7245191337 14490382674 21735574011 43471148022 65206722033 130413444066