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11056236808464 = 243240126912
BaseRepresentation
bin1010000011100011101100…
…0100010100100100010000
31110010222002011010112202100
42200320323010110210100
52422121133110332324
635303055353320400
72220533566155201
oct240707304244420
943128064115670
1011056236808464
113582a18496521
1212a6933406100
136227a2333a93
142a31a63195a8
151428e88624c9
hexa0e3b114910

11056236808464 has 135 divisors (see below), whose sum is σ = 31064417613957. Its totient is φ = 3670901568000.

The previous prime is 11056236808423. The next prime is 11056236808483. The reversal of 11056236808464 is 46480863265011.

The square root of 11056236808464 is 3325092.

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

11056236808464 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 623 + 6 + 8 + 0 + 8 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10946225186064 + 110011622400 = 3308508^2 + 331680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11056236808464.

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, 16000342359 + ... + 16000343049.

Almost surely, 211056236808464 is an apocalyptic number.

11056236808464 is the 3325092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11056236808464

11056236808464 is an abundant number, since it is smaller than the sum of its proper divisors (20008180805493).

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

11056236808464 is an frugal number, since it uses more digits than its factorization.

11056236808464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 11056236808464 in words is "eleven trillion, fifty-six billion, two hundred thirty-six million, eight hundred eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 401 691 802 1203 1382 1604 2073 2406 2764 3208 3609 4146 4812 5528 6219 6416 7218 8292 9624 11056 12438 14436 16584 19248 24876 28872 33168 49752 57744 99504 160801 277091 321602 477481 482403 554182 643204 831273 954962 964806 1108364 1286408 1432443 1447209 1662546 1909924 1929612 2216728 2493819 2572816 2864886 2894418 3325092 3819848 3859224 4297329 4433456 4987638 5729772 5788836 6650184 7639696 7718448 8594658 9975276 11459544 11577672 13300368 17189316 19950552 22919088 23155344 34378632 39901104 68757264 111113491 191469881 222226982 333340473 382939762 444453964 574409643 666680946 765879524 888907928 1000021419 1148819286 1333361892 1531759048 1723228929 1777815856 2000042838 2297638572 2666723784 3063518096 3446457858 4000085676 4595277144 5333447568 6892915716 8000171352 9190554288 13785831432 16000342704 27571662864 76779422281 153558844562 230338266843 307117689124 460676533686 614235378248 691014800529 921353067372 1228470756496 1382029601058 1842706134744 2764059202116 3685412269488 5528118404232 11056236808464