Search a number
-
+
11056651501504 = 267181547124923
BaseRepresentation
bin1010000011100101001111…
…0010001111111111000000
31110011000011001110010122211
42200321103302033333000
52422123010241022004
635303204445511504
72220550063043620
oct240712362177700
943130131403584
1011056651501504
113583110587544
1212a6a2a272594
1362283a21b08b
142a3205426880
1514291ee79504
hexa0e53c8ffc0

11056651501504 has 112 divisors (see below), whose sum is σ = 25219061876736. Its totient is φ = 4711334630400.

The previous prime is 11056651501501. The next prime is 11056651501517. The reversal of 11056651501504 is 40510515665011.

It is a happy number.

11056651501504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11056651501501) 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, 443619987 + ... + 443644909.

It is an arithmetic number, because the mean of its divisors is an integer number (225170195328).

Almost surely, 211056651501504 is an apocalyptic number.

11056651501504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11056651501504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12609530938368).

11056651501504 is an abundant number, since it is smaller than the sum of its proper divisors (14162410375232).

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

11056651501504 is a wasteful number, since it uses less digits than its factorization.

11056651501504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30594 (or 30584 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 40.

The spelling of 11056651501504 in words is "eleven trillion, fifty-six billion, six hundred fifty-one million, five hundred one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 181 224 362 448 724 1267 1448 2534 2896 5068 5471 5792 10136 10942 11584 20272 21884 24923 38297 40544 43768 49846 76594 81088 87536 99692 153188 174461 175072 199384 306376 348922 350144 398768 612752 697844 797536 990251 1225504 1395688 1595072 1980502 2451008 2791376 3961004 4511063 5582752 6931757 7922008 9022126 11165504 13863514 15844016 18044252 27727028 31577441 31688032 36088504 55454056 63154882 63376064 72177008 110908112 126309764 136353733 144354016 221816224 252619528 272707466 288708032 443632448 505239056 545414932 954476131 1010478112 1090829864 1908952262 2020956224 2181659728 3817904524 4363319456 7635809048 8726638912 15271618096 24680025673 30543236192 49360051346 61086472384 98720102692 172760179711 197440205384 345520359422 394880410768 691040718844 789760821536 1382081437688 1579521643072 2764162875376 5528325750752 11056651501504