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21405377350412 = 221167101108766137
BaseRepresentation
bin1001101110111110100111…
…11010011100101100001100
32210210100000112220000010222
410313133103322130230030
510301201203100203122
6113305254500050512
74336326130265246
oct467372372345414
983710015800128
1021405377350412
116902a73528280
122498609693a38
13bc3697c8a653
14540050ab5096
15271c0a139b42
hex1377d3e9cb0c

21405377350412 has 96 divisors (see below), whose sum is σ = 41924541689856. Its totient is φ = 9480727872000.

The previous prime is 21405377350381. The next prime is 21405377350507.

It is a happy number.

21405377350412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 323619008 + ... + 323685144.

It is an arithmetic number, because the mean of its divisors is an integer number (436713975936).

Almost surely, 221405377350412 is an apocalyptic number.

21405377350412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21405377350412 is a deficient number, since it is larger than the sum of its proper divisors (20519164339444).

21405377350412 is a wasteful number, since it uses less digits than its factorization.

21405377350412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67407 (or 67405 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

It can be divided in two parts, 2140537 and 7350412, that added together give a palindrome (9490949).

The spelling of 21405377350412 in words is "twenty-one trillion, four hundred five billion, three hundred seventy-seven million, three hundred fifty thousand, four hundred twelve".

Divisors: 1 2 4 11 22 44 67 101 134 202 268 404 737 1087 1111 1474 2174 2222 2948 4348 4444 6767 11957 13534 23914 27068 47828 66137 72829 74437 109787 132274 145658 148874 219574 264548 291316 297748 439148 727507 801119 1207657 1455014 1602238 2415314 2910028 3204476 4431179 4830628 6679837 7355729 8862358 13359674 14711458 17724716 26719348 29422916 48742969 71890919 73478207 80913019 97485938 143781838 146956414 161826038 194971876 287563676 293912828 323652076 447549079 790800109 895098158 1581600218 1790196316 3163200436 4816691573 4923039869 7260982819 9633383146 9846079738 14521965638 19266766292 19692159476 29043931276 52983607303 79870811009 105967214606 159741622018 211934429212 319483244036 486485848873 972971697746 1945943395492 5351344337603 10702688675206 21405377350412