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1063868544 = 27327113007
BaseRepresentation
bin111111011010010…
…101100010000000
32202010212010021200
4333122111202000
54134322243134
6253322221200
735235506364
oct7732254200
92663763250
101063868544
114a6587202
12258354800
1313c53cc1b
14a14152a4
15635ea499
hex3f695880

1063868544 has 96 divisors (see below), whose sum is σ = 3104749440. Its totient is φ = 349601280.

The previous prime is 1063868543. The next prime is 1063868557. The reversal of 1063868544 is 4458683601.

1063868544 is a `hidden beast` number, since 1 + 0 + 638 + 6 + 8 + 5 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10638685442 = 2263632557825359872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1063868544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1063868543) 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, 75289 + ... + 88295.

It is an arithmetic number, because the mean of its divisors is an integer number (32341140).

Almost surely, 21063868544 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 1063868544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552374720).

1063868544 is an abundant number, since it is smaller than the sum of its proper divisors (2040880896).

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

1063868544 is a wasteful number, since it uses less digits than its factorization.

1063868544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13098 (or 13083 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 1063868544 is about 32616.9977772327. The cubic root of 1063868544 is about 1020.8516992451.

The spelling of 1063868544 in words is "one billion, sixty-three million, eight hundred sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 284 288 384 426 568 576 639 852 1136 1152 1278 1704 2272 2556 3408 4544 5112 6816 9088 10224 13007 13632 20448 26014 27264 39021 40896 52028 78042 81792 104056 117063 156084 208112 234126 312168 416224 468252 624336 832448 923497 936504 1248672 1664896 1846994 1873008 2497344 2770491 3693988 3746016 4994688 5540982 7387976 7492032 8311473 11081964 14775952 14984064 16622946 22163928 29551904 33245892 44327856 59103808 66491784 88655712 118207616 132983568 177311424 265967136 354622848 531934272 1063868544