Search a number
-
+
6105312116605 = 513337278717741
BaseRepresentation
bin101100011011000000011…
…1101011011111101111101
3210121122212200212101012101
41120312000331123331331
51300012134400212410
620552424111105101
71200044216510122
oct130660075337575
923548780771171
106105312116605
111a44280585369
12827300812191
1335396157bcb0
141716da55a749
15a8c2e72cd3a
hex58d80f5bf7d

6105312116605 has 16 divisors (see below), whose sum is σ = 7913354130864. Its totient is φ = 4495159710720.

The previous prime is 6105312116591. The next prime is 6105312116621. The reversal of 6105312116605 is 5066112135016.

It can be written as a sum of positive squares in 8 ways, for example, as 236306820996 + 5869005295609 = 486114^2 + 2422603^2 .

It is not a de Polignac number, because 6105312116605 - 211 = 6105312114557 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139336966 + ... + 139380775.

It is an arithmetic number, because the mean of its divisors is an integer number (494584633179).

Almost surely, 26105312116605 is an apocalyptic number.

6105312116605 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6105312116605 is a deficient number, since it is larger than the sum of its proper divisors (1808042014259).

6105312116605 is a wasteful number, since it uses less digits than its factorization.

6105312116605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278718096.

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 6105312116605 in words is "six trillion, one hundred five billion, three hundred twelve million, one hundred sixteen thousand, six hundred five".

Divisors: 1 5 13 65 337 1685 4381 21905 278717741 1393588705 3623330633 18116653165 93927878717 469639393585 1221062423321 6105312116605