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5461414141645 = 571122762491151
BaseRepresentation
bin100111101111001010110…
…1001100101111011001101
3201100002212100020010210201
41033132111221211323031
51203434434010013040
615340534454533501
71102400635152610
oct117362551457315
921302770203721
105461414141645
1118161999a4520
12742560667291
1330801711cc97
1414c496152177
15970e5aa7a9a
hex4f795a65ecd

5461414141645 has 32 divisors (see below), whose sum is σ = 8206838009856. Its totient is φ = 3389519976000.

The previous prime is 5461414141637. The next prime is 5461414141649.

5461414141645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5461414141645 - 23 = 5461414141637 is a prime.

It is a super-3 number, since 3×54614141416453 (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5461414141595 and 5461414141604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5461414141649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31158181 + ... + 31332970.

It is an arithmetic number, because the mean of its divisors is an integer number (256463687808).

Almost surely, 25461414141645 is an apocalyptic number.

5461414141645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5461414141645 is a deficient number, since it is larger than the sum of its proper divisors (2745423868211).

5461414141645 is a wasteful number, since it uses less digits than its factorization.

5461414141645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62491401.

The product of its digits is 921600, while the sum is 46.

The spelling of 5461414141645 in words is "five trillion, four hundred sixty-one billion, four hundred fourteen million, one hundred forty-one thousand, six hundred forty-five".

Divisors: 1 5 7 11 35 55 77 227 385 1135 1589 2497 7945 12485 17479 87395 62491151 312455755 437438057 687402661 2187190285 3437013305 4811818627 14185491277 24059093135 70927456385 99298438939 156040404047 496492194695 780202020235 1092282828329 5461414141645