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1061144016 = 243371314561
BaseRepresentation
bin111111001111111…
…100010111010000
32201221201200221020
4333033330113100
54133123102031
6253143555440
735203401222
oct7717742720
92657650836
101061144016
114a4a96229
1225745bb80
1313bac7a8a
14a0d06412
156325d096
hex3f3fc5d0

1061144016 has 80 divisors (see below), whose sum is σ = 2837491008. Its totient is φ = 341452800.

The previous prime is 1061144011. The next prime is 1061144023. The reversal of 1061144016 is 6104411601.

It is a super-2 number, since 2×10611440162 = 2252053245385216512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061144011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230376 + ... + 234936.

Almost surely, 21061144016 is an apocalyptic number.

1061144016 is a gapful number since it is divisible by the number (16) 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 1061144016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418745504).

1061144016 is an abundant number, since it is smaller than the sum of its proper divisors (1776346992).

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

1061144016 is a wasteful number, since it uses less digits than its factorization.

1061144016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1061144016 is about 32575.2055404106. The cubic root of 1061144016 is about 1019.9794997802.

Adding to 1061144016 its reverse (6104411601), we get a palindrome (7165555617).

The spelling of 1061144016 in words is "one billion, sixty-one million, one hundred forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 131 148 222 262 296 393 444 524 592 786 888 1048 1572 1776 2096 3144 4561 4847 6288 9122 9694 13683 14541 18244 19388 27366 29082 36488 38776 54732 58164 72976 77552 109464 116328 168757 218928 232656 337514 506271 597491 675028 1012542 1194982 1350056 1792473 2025084 2389964 2700112 3584946 4050168 4779928 7169892 8100336 9559856 14339784 22107167 28679568 44214334 66321501 88428668 132643002 176857336 265286004 353714672 530572008 1061144016