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11255265336304 = 2411233079903037
BaseRepresentation
bin1010001111001001001000…
…0101111001101111110000
31110211222210210102022222101
42203302102011321233300
52433401240411230204
635534333021350144
72241110652555643
oct243622205715760
943758723368871
1011255265336304
11364a370949270
121319419708354
136384a02c3952
142aca87397a5a
15147b9688cea4
hexa3c92179bf0

11255265336304 has 80 divisors (see below), whose sum is σ = 24831955653120. Its totient is φ = 4891998862080.

The previous prime is 11255265336247. The next prime is 11255265336319. The reversal of 11255265336304 is 40363356255211.

11255265336304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 12012274 + ... + 12915310.

It is an arithmetic number, because the mean of its divisors is an integer number (310399445664).

Almost surely, 211255265336304 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 11255265336304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12415977826560).

11255265336304 is an abundant number, since it is smaller than the sum of its proper divisors (13576690316816).

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

11255265336304 is a wasteful number, since it uses less digits than its factorization.

11255265336304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906158 (or 906152 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 46.

The spelling of 11255265336304 in words is "eleven trillion, two hundred fifty-five billion, two hundred sixty-five million, three hundred thirty-six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 3079 4048 6158 12316 24632 33869 49264 67738 70817 135476 141634 270952 283268 541904 566536 778987 903037 1133072 1557974 1806074 3115948 3612148 6231896 7224296 9933407 12463792 14448592 19866814 20769851 39733628 41539702 79467256 83079404 158934512 166158808 228468361 332317616 456936722 913873444 1827746888 2780450923 3655493776 5560901846 11121803692 22243607384 30584960153 44487214768 61169920306 63950371229 122339840612 127900742458 244679681224 255801484916 489359362448 511602969832 703454083519 1023205939664 1406908167038 2813816334076 5627632668152 11255265336304