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14458775552 = 211131393907
BaseRepresentation
bin11010111011100111…
…10110100000000000
31101022122201220022122
431131303312200000
5214102421304202
610350421423412
71021205364404
oct153563664000
941278656278
1014458775552
11614a669091
12297626ab68
13149568bcc0
149b23bb104
155995569a2
hex35dcf6800

14458775552 has 96 divisors (see below), whose sum is σ = 31366389600. Its totient is φ = 6623576064.

The previous prime is 14458775531. The next prime is 14458775557. The reversal of 14458775552 is 25557785441.

It is a super-2 number, since 2×144587755522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14458775494 and 14458775503.

It is not an unprimeable number, because it can be changed into a prime (14458775557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3698783 + ... + 3702689.

It is an arithmetic number, because the mean of its divisors is an integer number (326733225).

Almost surely, 214458775552 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 14458775552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15683194800).

14458775552 is an abundant number, since it is smaller than the sum of its proper divisors (16907614048).

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

14458775552 is a wasteful number, since it uses less digits than its factorization.

14458775552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4061 counting only the distinct ones).

The product of its digits is 7840000, while the sum is 53.

The spelling of 14458775552 in words is "fourteen billion, four hundred fifty-eight million, seven hundred seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 139 208 256 278 416 512 556 832 1024 1112 1664 1807 2048 2224 3328 3614 3907 4448 6656 7228 7814 8896 13312 14456 15628 17792 26624 28912 31256 35584 50791 57824 62512 71168 101582 115648 125024 142336 203164 231296 250048 284672 406328 462592 500096 543073 812656 925184 1000192 1086146 1625312 1850368 2000384 2172292 3250624 3700736 4000768 4344584 6501248 7059949 8001536 8689168 13002496 14119898 17378336 26004992 28239796 34756672 52009984 56479592 69513344 104019968 112959184 139026688 225918368 278053376 451836736 556106752 903673472 1112213504 1807346944 3614693888 7229387776 14458775552