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5461314131645 = 510164120038423
BaseRepresentation
bin100111101111000111110…
…1100000101011010111101
3201100002121101001002212122
41033132033230011122331
51203434232404203040
615340520523212325
71102365312116351
oct117361754053275
921302541032778
105461314131645
1118161484a6529
127425330770a5
13307ccc4a4a78
1414c486b5b461
15970dbe001b5
hex4f78fb056bd

5461314131645 has 32 divisors (see below), whose sum is σ = 6632885885184. Its totient is φ = 4316376064000.

The previous prime is 5461314131639. The next prime is 5461314131681.

It is a happy number.

5461314131645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5461314131645 - 28 = 5461314131389 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5461314131596 and 5461314131605.

It is a congruent number.

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, 648376904 + ... + 648385326.

It is an arithmetic number, because the mean of its divisors is an integer number (207277683912).

Almost surely, 25461314131645 is an apocalyptic number.

It is an amenable number.

5461314131645 is a deficient number, since it is larger than the sum of its proper divisors (1171571753539).

5461314131645 is a wasteful number, since it uses less digits than its factorization.

5461314131645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11173.

The product of its digits is 518400, while the sum is 44.

The spelling of 5461314131645 in words is "five trillion, four hundred sixty-one billion, three hundred fourteen million, one hundred thirty-one thousand, six hundred forty-five".

Divisors: 1 5 101 505 641 2003 3205 8423 10015 42115 64741 202303 323705 850723 1011515 1283923 4253615 5399143 6419615 16871269 26995715 84356345 129676223 545313443 648381115 1703998169 2726567215 8519990845 10814483429 54072417145 1092262826329 5461314131645