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575130613752 = 23328399520769
BaseRepresentation
bin10000101111010000111…
…01001011011111111000
32000222111211201100001200
420113220131023133320
533410331414120002
61120113353014200
756360162361522
oct10275035133770
92028454640050
10575130613752
11201a03268622
129356a0b4360
13423084c5c46
141db9d3baa12
15ee6189ab1c
hex85e874b7f8

575130613752 has 48 divisors (see below), whose sum is σ = 1559502126000. Its totient is φ = 191481686016.

The previous prime is 575130613723. The next prime is 575130613753. The reversal of 575130613752 is 257316031575.

575130613752 is a `hidden beast` number, since 5 + 7 + 513 + 0 + 61 + 3 + 75 + 2 = 666.

It is a super-3 number, since 3×5751306137523 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 575130613698 and 575130613707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575130613753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4699977 + ... + 4820792.

It is an arithmetic number, because the mean of its divisors is an integer number (32489627625).

Almost surely, 2575130613752 is an apocalyptic number.

It is an amenable number.

575130613752 is an abundant number, since it is smaller than the sum of its proper divisors (984371512248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

575130613752 is a wasteful number, since it uses less digits than its factorization.

575130613752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9521620 (or 9521613 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The spelling of 575130613752 in words is "five hundred seventy-five billion, one hundred thirty million, six hundred thirteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 839 1678 2517 3356 5034 6712 7551 10068 15102 20136 30204 60408 9520769 19041538 28562307 38083076 57124614 76166152 85686921 114249228 171373842 228498456 342747684 685495368 7987925191 15975850382 23963775573 31951700764 47927551146 63903401528 71891326719 95855102292 143782653438 191710204584 287565306876 575130613752