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1034955530496 = 28321726423497
BaseRepresentation
bin11110000111110000010…
…10000010000100000000
310122221101211102100201200
433003320022002010000
5113424042103433441
62111241344501200
7134526106600446
oct17037012020400
93587354370650
101034955530496
11369a16463378
121486b861a800
137679921c4b4
1438140a98b96
151bdc54607b6
hexf0f8282100

1034955530496 has 108 divisors (see below), whose sum is σ = 3159563349852. Its totient is φ = 324691918848.

The previous prime is 1034955530437. The next prime is 1034955530537. The reversal of 1034955530496 is 6940355594301.

1034955530496 is a `hidden beast` number, since 1 + 0 + 3 + 49 + 5 + 553 + 0 + 49 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 875467120896 + 159488409600 = 935664^2 + 399360^2 .

It is a super-2 number, since 2×10349555304962 (a number of 25 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 13172581 + ... + 13250916.

Almost surely, 21034955530496 is an apocalyptic number.

1034955530496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1034955530496 is an abundant number, since it is smaller than the sum of its proper divisors (2124607819356).

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

1034955530496 is a wasteful number, since it uses less digits than its factorization.

1034955530496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26423536 (or 26423519 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 1034955530496 in words is "one trillion, thirty-four billion, nine hundred fifty-five million, five hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1632 2176 2304 2448 3264 4352 4896 6528 9792 13056 19584 39168 26423497 52846994 79270491 105693988 158540982 211387976 237811473 317081964 422775952 449199449 475622946 634163928 845551904 898398898 951245892 1268327856 1347598347 1691103808 1796797796 1902491784 2536655712 2695196694 3382207616 3593595592 3804983568 4042795041 5073311424 5390393388 6764415232 7187191184 7609967136 8085590082 10146622848 10780786776 14374382368 15219934272 16171180164 20293245696 21561573552 28748764736 30439868544 32342360328 43123147104 57497529472 60879737088 64684720656 86246294208 114995058944 129369441312 172492588416 258738882624 344985176832 517477765248 1034955530496