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564132505231465 = 52331315672524107
BaseRepresentation
bin1000000001000100110101010…
…1100101001010000001101001
32201222102112121020122001110021
42000101031111211022001221
51042420221332314401330
65315450521205120441
7226553141243121562
oct20021152545120151
92658375536561407
10564132505231465
111538282853320a5
12533307aa6b9121
131b2a160bc53ac1
149d442321b1169
1545345ab1d067a
hex201135594a069

564132505231465 has 16 divisors (see below), whose sum is σ = 708648850067328. Its totient is φ = 430304821854336.

The previous prime is 564132505231453. The next prime is 564132505231469.

564132505231465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564132505231465 - 211 = 564132505229417 is a prime.

It is a super-3 number, since 3×5641325052314653 (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (564132505231469) 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, 7836226059 + ... + 7836298048.

It is an arithmetic number, because the mean of its divisors is an integer number (44290553129208).

Almost surely, 2564132505231465 is an apocalyptic number.

It is an amenable number.

564132505231465 is a deficient number, since it is larger than the sum of its proper divisors (144516344835863).

564132505231465 is a wasteful number, since it uses less digits than its factorization.

564132505231465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15672524448.

The product of its (nonzero) digits is 12960000, while the sum is 52.

The spelling of 564132505231465 in words is "five hundred sixty-four trillion, one hundred thirty-two billion, five hundred five million, two hundred thirty-one thousand, four hundred sixty-five".

Divisors: 1 5 23 115 313 1565 7199 35995 15672524107 78362620535 360468054461 1802340272305 4905500045491 24527500227455 112826501046293 564132505231465