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21632142078224 = 2411313738714261
BaseRepresentation
bin1001110101100101000000…
…01001001111000100010000
32211121000100011201201220122
410322302200021033010100
510313410111333000344
6114001400251125412
74361604434543546
oct472624011170420
984530304651818
1021632142078224
11699015a288637
122514554743868
13c0bb96303472
1454b003673d96
15277a7d16daee
hex13aca024f110

21632142078224 has 40 divisors (see below), whose sum is σ = 42313981421592. Its totient is φ = 10712544389120.

The previous prime is 21632142078193. The next prime is 21632142078259. The reversal of 21632142078224 is 42287024123612.

It can be written as a sum of positive squares in 4 ways, for example, as 91404638224 + 21540737440000 = 302332^2 + 4641200^2 .

It is a super-3 number, since 3×216321420782243 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1874747 + ... + 6839514.

Almost surely, 221632142078224 is an apocalyptic number.

It is an amenable number.

21632142078224 is a deficient number, since it is larger than the sum of its proper divisors (20681839343368).

21632142078224 is a wasteful number, since it uses less digits than its factorization.

21632142078224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8715755 (or 8715749 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The spelling of 21632142078224 in words is "twenty-one trillion, six hundred thirty-two billion, one hundred forty-two million, seventy-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 113 226 452 904 1373 1808 2746 5492 10984 21968 155149 310298 620596 1241192 2482384 8714261 17428522 34857044 69714088 139428176 984711493 1969422986 3938845972 7877691944 11964680353 15755383888 23929360706 47858721412 95717442824 191434885648 1352008879889 2704017759778 5408035519556 10816071039112 21632142078224