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1063494144 = 2933194049
BaseRepresentation
bin111111011000111…
…010001000000000
32202010011002201000
4333120322020000
54134223303034
6253310212000
735232360006
oct7730721000
92663132630
101063494144
114a6350989
122581b4000
1313c43b69b
14a1358a76
1563574599
hex3f63a200

1063494144 has 160 divisors (see below), whose sum is σ = 3314520000. Its totient is φ = 335757312.

The previous prime is 1063494139. The next prime is 1063494167. The reversal of 1063494144 is 4414943601.

It is a happy number.

1063494144 is a `hidden beast` number, since 1 + 0 + 634 + 9 + 4 + 14 + 4 = 666.

It is a super-2 number, since 2×10634941442 = 2262039588644585472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1063494099 and 1063494108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260632 + ... + 264680.

It is an arithmetic number, because the mean of its divisors is an integer number (20715750).

Almost surely, 21063494144 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 1063494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657260000).

1063494144 is an abundant number, since it is smaller than the sum of its proper divisors (2251025856).

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

1063494144 is an equidigital number, since it uses as much as digits as its factorization.

1063494144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1063494144 is about 32611.2579334193. The cubic root of 1063494144 is about 1020.7319314026.

The spelling of 1063494144 in words is "one billion, sixty-three million, four hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 512 513 576 608 684 768 864 912 1026 1152 1216 1368 1536 1728 1824 2052 2304 2432 2736 3456 3648 4049 4104 4608 4864 5472 6912 7296 8098 8208 9728 10944 12147 13824 14592 16196 16416 21888 24294 29184 32392 32832 36441 43776 48588 64784 65664 72882 76931 87552 97176 109323 129568 131328 145764 153862 194352 218646 230793 259136 262656 291528 307724 388704 437292 461586 518272 583056 615448 692379 777408 874584 923172 1036544 1166112 1230896 1384758 1554816 1749168 1846344 2073088 2077137 2332224 2461792 2769516 3109632 3498336 3692688 4154274 4664448 4923584 5539032 6219264 6996672 7385376 8308548 9328896 9847168 11078064 13993344 14770752 16617096 18657792 19694336 22156128 27986688 29541504 33234192 39388672 44312256 55973376 59083008 66468384 88624512 118166016 132936768 177249024 265873536 354498048 531747072 1063494144