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1056323485152 = 253213355779319
BaseRepresentation
bin11110101111100011100…
…10010011110111100000
310201222112222222220222200
433113301302103313200
5114301322303011102
62125133542133200
7136213452322365
oct17276162236740
93658488886880
101056323485152
11377a91083a31
12150880721200
13787c3135950
14391aa91046c
151c72634151c
hexf5f1c93de0

1056323485152 has 144 divisors (see below), whose sum is σ = 3235940940960. Its totient is φ = 324927138816.

The previous prime is 1056323485121. The next prime is 1056323485153. The reversal of 1056323485152 is 2515843236501.

It is a happy number.

1056323485152 is a `hidden beast` number, since 1 + 0 + 5 + 632 + 3 + 4 + 8 + 5 + 1 + 5 + 2 = 666.

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

It is a super-2 number, since 2×10563234851522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1056323485098 and 1056323485107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056323485153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13277749 + ... + 13357067.

It is an arithmetic number, because the mean of its divisors is an integer number (22471812090).

Almost surely, 21056323485152 is an apocalyptic number.

1056323485152 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 1056323485152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617970470480).

1056323485152 is an abundant number, since it is smaller than the sum of its proper divisors (2179617455808).

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

1056323485152 is a wasteful number, since it uses less digits than its factorization.

1056323485152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82905 (or 82894 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 1056323485152 in words is "one trillion, fifty-six billion, three hundred twenty-three million, four hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3557 3744 7114 10671 14228 21342 28456 32013 42684 46241 56912 64026 79319 85368 92482 113824 128052 138723 158638 170736 184964 237957 256104 277446 317276 341472 369928 416169 475914 512208 554892 634552 713871 739856 832338 951828 1024416 1031147 1109784 1269104 1427742 1479712 1664676 1903656 2062294 2219568 2538208 2855484 3093441 3329352 3807312 4124588 4439136 5710968 6186882 6658704 7614624 8249176 9280323 11421936 12373764 13317408 16498352 18560646 22843872 24747528 32996704 37121292 49495056 74242584 98990112 148485168 282137683 296970336 564275366 846413049 1128550732 1692826098 2257101464 2539239147 3385652196 3667789879 4514202928 5078478294 6771304392 7335579758 9028405856 10156956588 11003369637 13542608784 14671159516 20313913176 22006739274 27085217568 29342319032 33010108911 40627826352 44013478548 58684638064 66020217822 81255652704 88026957096 117369276128 132040435644 176053914192 264080871288 352107828384 528161742576 1056323485152