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56460384811485 = 3252275815513093
BaseRepresentation
bin11001101011001101101010…
…01011100011100111011101
321101220120010021221102220100
430311212311023203213131
524400021332002431420
6320025313120411313
714615061653313354
oct1465466513434735
9241816107842810
1056460384811485
1116a98795341516
1263ba498776b39
1325672647a2495
14dd29a91bc99b
1567d9e6907190
hex3359b52e39dd

56460384811485 has 24 divisors (see below), whose sum is σ = 97865114779224. Its totient is φ = 30112067456640.

The previous prime is 56460384811483. The next prime is 56460384811487. The reversal of 56460384811485 is 58411848306465.

56460384811485 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 0 + 3 + 8 + 481 + 148 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (56460384811483) and next prime (56460384811487).

It can be written as a sum of positive squares in 4 ways, for example, as 4732687124676 + 51727697686809 = 2175474^2 + 7192197^2 .

It is not a de Polignac number, because 56460384811485 - 21 = 56460384811483 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56460384811483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7484599 + ... + 12997691.

It is an arithmetic number, because the mean of its divisors is an integer number (4077713115801).

Almost surely, 256460384811485 is an apocalyptic number.

It is an amenable number.

56460384811485 is a deficient number, since it is larger than the sum of its proper divisors (41404729967739).

56460384811485 is a wasteful number, since it uses less digits than its factorization.

56460384811485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740685 (or 5740682 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 56460384811485 in words is "fifty-six trillion, four hundred sixty billion, three hundred eighty-four million, eight hundred eleven thousand, four hundred eighty-five".

Divisors: 1 3 5 9 15 45 227581 682743 1137905 2048229 3413715 5513093 10241145 16539279 27565465 49617837 82696395 248089185 1254675218033 3764025654099 6273376090165 11292076962297 18820128270495 56460384811485