Search a number
-
+
82634287451717 = 5314916136487297
BaseRepresentation
bin10010110010011111001011…
…010110011000111001000101
3101211120202112120102221112102
4102302133023112120321011
541312340010041423332
6451425400111001445
723256062451033461
oct2262371326307105
9354522476387472
1082634287451717
112436a005aa4481
1293270b3809285
1337154c2763951
1416597413114a1
159847929b4062
hex4b27cb598e45

82634287451717 has 16 divisors (see below), whose sum is σ = 84811041673200. Its totient is φ = 80481082785792.

The previous prime is 82634287451699. The next prime is 82634287451747. The reversal of 82634287451717 is 71715478243628.

It can be written as a sum of positive squares in 8 ways, for example, as 3692235267361 + 78942052184356 = 1921519^2 + 8884934^2 .

It is a cyclic number.

It is not a de Polignac number, because 82634287451717 - 228 = 82634019016261 is a prime.

It is a super-3 number, since 3×826342874517173 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82634287451747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9494213 + ... + 15981509.

It is an arithmetic number, because the mean of its divisors is an integer number (5300690104575).

Almost surely, 282634287451717 is an apocalyptic number.

It is an amenable number.

82634287451717 is a deficient number, since it is larger than the sum of its proper divisors (2176754221483).

82634287451717 is a wasteful number, since it uses less digits than its factorization.

82634287451717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6489112.

The product of its digits is 126443520, while the sum is 65.

The spelling of 82634287451717 in words is "eighty-two trillion, six hundred thirty-four billion, two hundred eighty-seven million, four hundred fifty-one thousand, seven hundred seventeen".

Divisors: 1 53 149 1613 7897 85489 240337 6487297 12737861 343826741 966607253 10464010061 51230184409 554592533233 1559137499089 82634287451717