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1071383529344 = 27711311635521
BaseRepresentation
bin11111001011100110110…
…11110100011110000000
310210102102120010102211012
433211303123310132000
5120023143140414334
62140104203140052
7140255611511642
oct17456333643600
93712376112735
101071383529344
1138340a087047
12153784214628
137a053245abb
1439bd8ac4892
151cd085669ce
hexf9736f4780

1071383529344 has 128 divisors (see below), whose sum is σ = 2194759100160. Its totient is φ = 520805376000.

The previous prime is 1071383529301. The next prime is 1071383529347. The reversal of 1071383529344 is 4439253831701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10713835293442 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1071383529292 and 1071383529301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071383529347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194053304 + ... + 194058824.

It is an arithmetic number, because the mean of its divisors is an integer number (17146555470).

Almost surely, 21071383529344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071383529344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097379550080).

1071383529344 is an abundant number, since it is smaller than the sum of its proper divisors (1123375570816).

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

1071383529344 is a wasteful number, since it uses less digits than its factorization.

1071383529344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 1071383529344 in words is "one trillion, seventy-one billion, three hundred eighty-three million, five hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 71 128 131 142 163 262 284 326 524 568 652 1048 1136 1304 2096 2272 2608 4192 4544 5216 5521 8384 9088 9301 10432 11042 11573 16768 18602 20864 21353 22084 23146 37204 42706 44168 46292 74408 85412 88336 92584 148816 170824 176672 185168 297632 341648 353344 370336 391991 595264 683296 706688 723251 740672 783982 899923 1190528 1366592 1446502 1481344 1516063 1567964 1799846 2733184 2893004 3032126 3135928 3599692 5786008 6064252 6271856 7199384 11572016 12128504 12543712 14398768 23144032 24257008 25087424 28797536 46288064 48514016 50174848 51350821 57595072 63894533 92576128 97028032 102701642 115190144 117889913 127789066 194056064 205403284 235779826 255578132 410806568 471559652 511156264 821613136 943119304 1022312528 1643226272 1886238608 2044625056 3286452544 3772477216 4089250112 6572905088 7544954432 8178500224 8370183823 15089908864 16740367646 33480735292 66961470584 133922941168 267845882336 535691764672 1071383529344