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1631126064 = 2431713115259
BaseRepresentation
bin110000100111001…
…0000001000110000
311012200020210022110
41201032100020300
511320032013224
6425504405320
755264225401
oct14116201060
94180223273
101631126064
11767801177
12396316840
131ccc13469
141168b79a8
15982eb929
hex61390230

1631126064 has 80 divisors (see below), whose sum is σ = 4495962240. Its totient is φ = 507786240.

The previous prime is 1631126033. The next prime is 1631126069. The reversal of 1631126064 is 4606211361.

It is not an unprimeable number, because it can be changed into a prime (1631126069) 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, 99267 + ... + 114525.

It is an arithmetic number, because the mean of its divisors is an integer number (56199528).

Almost surely, 21631126064 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 1631126064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247981120).

1631126064 is an abundant number, since it is smaller than the sum of its proper divisors (2864836176).

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

1631126064 is a wasteful number, since it uses less digits than its factorization.

1631126064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15418 (or 15412 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1631126064 is about 40387.2017352032. The cubic root of 1631126064 is about 1177.1428683306.

The spelling of 1631126064 in words is "one billion, six hundred thirty-one million, one hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 131 136 204 262 272 393 408 524 786 816 1048 1572 2096 2227 3144 4454 6288 6681 8908 13362 15259 17816 26724 30518 35632 45777 53448 61036 91554 106896 122072 183108 244144 259403 366216 518806 732432 778209 1037612 1556418 1998929 2075224 3112836 3997858 4150448 5996787 6225672 7995716 11993574 12451344 15991432 23987148 31982864 33981793 47974296 67963586 95948592 101945379 135927172 203890758 271854344 407781516 543708688 815563032 1631126064