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1053899347216 = 241723124872
BaseRepresentation
bin11110101011000010100…
…10111101010100010000
310201202022001112221220011
433111201102331110100
5114231341213102331
62124053224324304
7136066415434012
oct17254122752420
93652261487804
101053899347216
11376a57785251
12150304913694
13784c7b482c1
143901a9aa1b2
151c6335ed3b1
hexf5614bd510

1053899347216 has 135 divisors (see below), whose sum is σ = 2245949197317. Its totient is φ = 478968629760.

The previous prime is 1053899347177. The next prime is 1053899347253. The reversal of 1053899347216 is 6127439983501.

It is a happy number.

The square root of 1053899347216 is 1026596.

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

It can be written as a sum of positive squares in only one way, i.e., 820509872400 + 233389474816 = 905820^2 + 483104^2 .

It is a super-2 number, since 2×10538993472162 (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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2164064125 + ... + 2164064611.

It is a 1-persistent number, because it is pandigital, but 2⋅1053899347216 = 2107798694432 is not.

Almost surely, 21053899347216 is an apocalyptic number.

1053899347216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1053899347216 is the 1026596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053899347216

1053899347216 is an abundant number, since it is smaller than the sum of its proper divisors (1192049850101).

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

1053899347216 is an frugal number, since it uses more digits than its factorization.

1053899347216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 1053899347216 in words is "one trillion, fifty-three billion, eight hundred ninety-nine million, three hundred forty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 289 487 496 527 578 961 974 1054 1156 1922 1948 2108 2312 3844 3896 4216 4624 7688 7792 8279 8432 8959 15097 15376 16337 16558 17918 30194 32674 33116 35836 60388 65348 66232 71672 120776 130696 132464 140743 143344 237169 241552 256649 261392 277729 281486 468007 474338 513298 555458 562972 936014 948676 1026596 1110916 1125944 1872028 1897352 2053192 2221832 2251888 3744056 3794704 4031873 4106384 4363033 4443664 7352239 7488112 7956119 8063746 8726066 14704478 15912238 16127492 17452132 29408956 31824476 32254984 34904264 58817912 63648952 64509968 68541841 69808528 117635824 124988063 127297904 135254023 137083682 227919409 249976126 270508046 274167364 455838818 499952252 541016092 548334728 911677636 999904504 1082032184 1096669456 1823355272 1999809008 2124797071 2164064368 3646710544 3874629953 4249594142 7749259906 8499188284 15498519812 16998376568 30997039624 33996753136 61994079248 65868709201 131737418402 263474836804 526949673608 1053899347216