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575285413376 = 29612714253
BaseRepresentation
bin10000101111100011010…
…11101100011000000000
32000222220121222222020002
420113301223230120000
533411141031212001
61120141002535132
756364052221422
oct10276153543000
92028817888202
10575285413376
11201a826888a3
12935b1b074a8
13423315b565b
141dbb5b94812
15ee7027746b
hex85f1aec600

575285413376 has 120 divisors (see below), whose sum is σ = 1185337316592. Its totient is φ = 278876774400.

The previous prime is 575285413357. The next prime is 575285413403. The reversal of 575285413376 is 673314582575.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135263666 + ... + 135267918.

Almost surely, 2575285413376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575285413376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592668658296).

575285413376 is an abundant number, since it is smaller than the sum of its proper divisors (610051903216).

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

575285413376 is an frugal number, since it uses more digits than its factorization.

575285413376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464 (or 4387 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 56.

The spelling of 575285413376 in words is "five hundred seventy-five billion, two hundred eighty-five million, four hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 61 64 71 122 128 142 244 256 284 488 512 568 976 1136 1952 2272 3721 3904 4253 4331 4544 7442 7808 8506 8662 9088 14884 15616 17012 17324 18176 29768 31232 34024 34648 36352 59536 68048 69296 119072 136096 138592 238144 259433 264191 272192 277184 301963 476288 518866 528382 544384 554368 603926 952576 1037732 1056764 1088768 1108736 1207852 1905152 2075464 2113528 2177536 2217472 2415704 4150928 4227056 4831408 8301856 8454112 9662816 15825413 16603712 16908224 18419743 19325632 31650826 33207424 33816448 36839486 38651264 63301652 66414848 67632896 73678972 77302528 126603304 132829696 135265792 147357944 154605056 253206608 294715888 506413216 589431776 1012826432 1123604323 1178863552 2025652864 2247208646 2357727104 4051305728 4494417292 4715454208 8102611456 8988834584 9430908416 17977669168 35955338336 71910676672 143821353344 287642706688 575285413376