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9538264064 = 21075572389
BaseRepresentation
bin10001110001000011…
…00101110000000000
3220121201221000111102
420320201211300000
5124013243422224
64214250033532
7455236623020
oct107041456000
926551830442
109538264064
114055112a6a
121a224188a8
13b90141a44
14666acba80
153ac5a24ae
hex238865c00

9538264064 has 88 divisors (see below), whose sum is σ = 21839361120. Its totient is φ = 4078780416.

The previous prime is 9538264049. The next prime is 9538264079. The reversal of 9538264064 is 4604628359.

It is an interprime number because it is at equal distance from previous prime (9538264049) and next prime (9538264079).

It is a super-3 number, since 3×95382640643 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3991382 + ... + 3993770.

Almost surely, 29538264064 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 9538264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10919680560).

9538264064 is an abundant number, since it is smaller than the sum of its proper divisors (12301097056).

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

9538264064 is a wasteful number, since it uses less digits than its factorization.

9538264064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The square root of 9538264064 is about 97664.0366972408. The cubic root of 9538264064 is about 2120.7514886570.

The spelling of 9538264064 in words is "nine billion, five hundred thirty-eight million, two hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 557 896 1024 1114 1792 2228 2389 3584 3899 4456 4778 7168 7798 8912 9556 15596 16723 17824 19112 31192 33446 35648 38224 62384 66892 71296 76448 124768 133784 142592 152896 249536 267568 285184 305792 499072 535136 570368 611584 998144 1070272 1223168 1330673 1996288 2140544 2446336 2661346 3992576 4281088 5322692 8562176 9314711 10645384 17124352 18629422 21290768 37258844 42581536 74517688 85163072 149035376 170326144 298070752 340652288 596141504 681304576 1192283008 1362609152 2384566016 4769132032 9538264064