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1063913472 = 21132197293
BaseRepresentation
bin111111011010100…
…000100000000000
32202010221101220200
4333122200200000
54134330212342
6253323205200
735236054356
oct7732404000
92663841820
101063913472
114a6607a36
12258376800
1313c5574cb
14a14277d6
156360894c
hex3f6a0800

1063913472 has 144 divisors (see below), whose sum is σ = 3098915820. Its totient is φ = 351633408.

The previous prime is 1063913453. The next prime is 1063913509. The reversal of 1063913472 is 2743193601.

1063913472 is a `hidden beast` number, since 1 + 0 + 639 + 13 + 4 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 727704576 + 336208896 = 26976^2 + 18336^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10639134722 = 2263823751806189568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 3630958 + ... + 3631250.

Almost surely, 21063913472 is an apocalyptic number.

1063913472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1063913472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549457910).

1063913472 is an abundant number, since it is smaller than the sum of its proper divisors (2035002348).

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

1063913472 is a wasteful number, since it uses less digits than its factorization.

1063913472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1063913472 is about 32617.6864906143. The cubic root of 1063913472 is about 1020.8660694978.

The spelling of 1063913472 in words is "one billion, sixty-three million, nine hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 197 256 288 293 384 394 512 576 586 591 768 788 879 1024 1152 1172 1182 1536 1576 1758 1773 2048 2304 2344 2364 2637 3072 3152 3516 3546 4608 4688 4728 5274 6144 6304 7032 7092 9216 9376 9456 10548 12608 14064 14184 18432 18752 18912 21096 25216 28128 28368 37504 37824 42192 50432 56256 56736 57721 75008 75648 84384 100864 112512 113472 115442 150016 151296 168768 173163 201728 225024 226944 230884 300032 302592 337536 346326 403456 450048 453888 461768 519489 600064 605184 675072 692652 900096 907776 923536 1038978 1210368 1350144 1385304 1800192 1815552 1847072 2077956 2700288 2770608 3631104 3694144 4155912 5400576 5541216 7388288 8311824 11082432 14776576 16623648 22164864 29553152 33247296 44329728 59106304 66494592 88659456 118212608 132989184 177318912 265978368 354637824 531956736 1063913472