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201007427584 = 212197249107
BaseRepresentation
bin1011101100110011111…
…0011111000000000000
3201012211112221022100011
42323030332133000000
511243130400140314
6232201434434304
720344102641445
oct2731476370000
9635745838304
10201007427584
11782794a8487
1232b58b92994
1315c54c5a082
149a2bc039cc
155366b214c4
hex2eccf9f000

201007427584 has 52 divisors (see below), whose sum is σ = 404007838344. Its totient is φ = 99993141248.

The previous prime is 201007427563. The next prime is 201007427587. The reversal of 201007427584 is 485724700102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201007427587) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 682359 + ... + 931465.

Almost surely, 2201007427584 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 201007427584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202003919172).

201007427584 is an abundant number, since it is smaller than the sum of its proper divisors (203000410760).

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

201007427584 is an equidigital number, since it uses as much as digits as its factorization.

201007427584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249328 (or 249306 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 201007427584 in words is "two hundred one billion, seven million, four hundred twenty-seven thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 197 256 394 512 788 1024 1576 2048 3152 4096 6304 12608 25216 50432 100864 201728 249107 403456 498214 806912 996428 1992856 3985712 7971424 15942848 31885696 49074079 63771392 98148158 127542784 196296316 255085568 392592632 510171136 785185264 1020342272 1570370528 3140741056 6281482112 12562964224 25125928448 50251856896 100503713792 201007427584