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11811627223448 = 2313163967720547
BaseRepresentation
bin1010101111100001101111…
…0110000100100110011000
31112211011212121110120100112
42223320123312010212120
53022010203032122243
641042104151423452
72326235063563103
oct253703366044630
945734777416315
1011811627223448
113844312703788
1213a920a084b88
13678aa7235bb0
142cb985bdd73a
151573aa634818
hexabe1bd84998

11811627223448 has 64 divisors (see below), whose sum is σ = 24021571580160. Its totient is φ = 5412464862336.

The previous prime is 11811627223423. The next prime is 11811627223463. The reversal of 11811627223448 is 84432272611811.

11811627223448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11811627223396 and 11811627223405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16032311 + ... + 16752857.

It is an arithmetic number, because the mean of its divisors is an integer number (375337055940).

Almost surely, 211811627223448 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 11811627223448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12010785790080).

11811627223448 is an abundant number, since it is smaller than the sum of its proper divisors (12209944356712).

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

11811627223448 is a wasteful number, since it uses less digits than its factorization.

11811627223448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721696 (or 721692 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 50.

The spelling of 11811627223448 in words is "eleven trillion, eight hundred eleven billion, six hundred twenty-seven million, two hundred twenty-three thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 104 163 326 652 967 1304 1934 2119 3868 4238 7736 8476 12571 16952 25142 50284 100568 157621 315242 630484 720547 1260968 1441094 2049073 2882188 4098146 5764376 8196292 9367111 16392584 18734222 37468444 74936888 117449161 234898322 469796644 696768949 939593288 1393537898 1526839093 2787075796 3053678186 5574151592 6107356372 9057996337 12214712744 18115992674 36231985348 72463970696 113573338687 227146677374 454293354748 908586709496 1476453402931 2952906805862 5905813611724 11811627223448