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6242907013561 = 41214924092
BaseRepresentation
bin101101011011000101001…
…0000010100000110111001
3211002211000220221100211001
41122312022100110012321
51304240433143413221
621135541335205001
71213015025030161
oct132661220240671
924084026840731
106242907013561
111a97669290a39
12849b00b16761
1336391ba8969a
1417823059b5a1
15ac5d421b391
hex5ad8a4141b9

6242907013561 has 27 divisors (see below), whose sum is σ = 6457910035143. Its totient is φ = 6034972604160.

The previous prime is 6242907013549. The next prime is 6242907013601. The reversal of 6242907013561 is 1653107092426.

It is a happy number.

The square root of 6242907013561 is 2498581.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 5789466389161 + 453440624400 = 2406131^2 + 673380^2 .

It is not a de Polignac number, because 6242907013561 - 213 = 6242907005369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6242907013501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15263831125 + ... + 15263831533.

Almost surely, 26242907013561 is an apocalyptic number.

6242907013561 is the 2498581-st square number.

6242907013561 is the 1249291-st centered octagonal number.

It is an amenable number.

6242907013561 is a deficient number, since it is larger than the sum of its proper divisors (215003021582).

6242907013561 is an frugal number, since it uses more digits than its factorization.

6242907013561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 6242907013561 in words is "six trillion, two hundred forty-two billion, nine hundred seven million, thirteen thousand, five hundred sixty-one".

Divisors: 1 41 149 409 1681 6109 16769 22201 60941 167281 250469 687529 910241 2498581 6858521 9080209 24924869 37319881 102441821 281199361 372288569 1021919629 3713805481 15263831329 41898704789 152266024721 6242907013561