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1199060040256 = 26132105292
BaseRepresentation
bin10001011100101101100…
…011000011101001000000
311020121222120000012121121
4101130231203003221000
5124121133332242011
62314501322002024
7152425553114431
oct21345543035100
94217876005547
101199060040256
11422578151461
12174476946314
13890bc93cc00
144206b769488
15212cc418e71
hex1172d8c3a40

1199060040256 has 63 divisors (see below), whose sum is σ = 2576738292411. Its totient is φ = 553359765504.

The previous prime is 1199060040223. The next prime is 1199060040263. The reversal of 1199060040256 is 6520400609911.

The square root of 1199060040256 is 1095016.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3938817600 + 1195121222656 = 62760^2 + 1093216^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 113876400 + ... + 113886928.

Almost surely, 21199060040256 is an apocalyptic number.

1199060040256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1199060040256 is the 1095016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1199060040256

1199060040256 is an abundant number, since it is smaller than the sum of its proper divisors (1377678252155).

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

1199060040256 is an frugal number, since it uses more digits than its factorization.

1199060040256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21096 (or 10544 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 1199060040256 in words is "one trillion, one hundred ninety-nine billion, sixty million, forty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10529 10816 21058 42116 84232 136877 168464 273754 336928 547508 673856 1095016 1779401 2190032 3558802 4380064 7117604 8760128 14235208 28470416 56940832 110859841 113881664 221719682 443439364 886878728 1441177933 1773757456 2882355866 3547514912 5764711732 7095029824 11529423464 18735313129 23058846928 37470626258 46117693856 74941252516 92235387712 149882505032 299765010064 599530020128 1199060040256