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1049403555216 = 243219244932
BaseRepresentation
bin11110100010101010101…
…00110111110110010000
310201022200201221001200100
433101111110313312100
5114143134302231331
62122031144052400
7135550125020502
oct17212524676620
93638621831610
101049403555216
1137505aa49175
1214b46b164100
1377c5c5b5c53
1438b11877d72
151c46da91ae6
hexf455537d90

1049403555216 has 135 divisors (see below), whose sum is σ = 3100270086849. Its totient is φ = 331316839296.

The previous prime is 1049403555203. The next prime is 1049403555247. The reversal of 1049403555216 is 6125553049401.

It is a happy number.

The square root of 1049403555216 is 1024404.

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

1049403555216 is a `hidden beast` number, since 1 + 0 + 4 + 94 + 0 + 3 + 5 + 552 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1045669856400 + 3733698816 = 1022580^2 + 61104^2 .

It is a super-2 number, since 2×10494035552162 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 233561866 + ... + 233566358.

Almost surely, 21049403555216 is an apocalyptic number.

1049403555216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1049403555216 is the 1024404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1049403555216

1049403555216 is an abundant number, since it is smaller than the sum of its proper divisors (2050866531633).

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

1049403555216 is an frugal number, since it uses more digits than its factorization.

1049403555216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9038 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 1049403555216 in words is "one trillion, forty-nine billion, four hundred three million, five hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1444 2166 2736 2888 3249 4332 4493 5776 6498 8664 8986 12996 13479 17328 17972 25992 26958 35944 40437 51984 53916 71888 80874 85367 107832 161748 170734 215664 256101 323496 341468 512202 646992 682936 768303 1024404 1365872 1536606 1621973 2048808 3073212 3243946 4097616 4865919 6146424 6487892 9731838 12292848 12975784 14597757 19463676 20187049 25951568 29195514 38927352 40374098 58391028 60561147 77854704 80748196 116782056 121122294 161496392 181683441 233564112 242244588 322992784 363366882 383553931 484489176 726733764 767107862 968978352 1150661793 1453467528 1534215724 2301323586 2906935056 3068431448 3451985379 4602647172 6136862896 6903970758 7287524689 9205294344 13807941516 14575049378 18410588688 21862574067 27615883032 29150098756 43725148134 55231766064 58300197512 65587722201 87450296268 116600395024 131175444402 174900592536 262350888804 349801185072 524701777608 1049403555216