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20287223219232 = 2532612111508209
BaseRepresentation
bin1001001110011011111001…
…01110111100010000100000
32122211102212110121211011100
410213031330232330100200
510124341213121003412
6111051453252314400
74162463206061454
oct447157456742040
978742773554140
1020287223219232
116511843690892
122337972012a00
13b42100067728
14501c9a53c664
15252ab59d6edc
hex12737cbbc420

20287223219232 has 72 divisors (see below), whose sum is σ = 57701221266780. Its totient is φ = 6761302364160.

The previous prime is 20287223219209. The next prime is 20287223219233. The reversal of 20287223219232 is 23291232278202.

20287223219232 is a `hidden beast` number, since 2 + 0 + 28 + 72 + 2 + 321 + 9 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20263286178576 + 23937040656 = 4501476^2 + 154716^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (20287223219233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3991257 + ... + 7516952.

Almost surely, 220287223219232 is an apocalyptic number.

It is an amenable number.

20287223219232 is an abundant number, since it is smaller than the sum of its proper divisors (37413998047548).

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

20287223219232 is a wasteful number, since it uses less digits than its factorization.

20287223219232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11514346 (or 11514335 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 20287223219232 in words is "twenty trillion, two hundred eighty-seven billion, two hundred twenty-three million, two hundred nineteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6121 12242 18363 24484 36726 48968 55089 73452 97936 110178 146904 195872 220356 293808 440712 587616 881424 1762848 11508209 23016418 34524627 46032836 69049254 92065672 103573881 138098508 184131344 207147762 276197016 368262688 414295524 552394032 828591048 1104788064 1657182096 3314364192 70441747289 140883494578 211325241867 281766989156 422650483734 563533978312 633975725601 845300967468 1127067956624 1267951451202 1690601934936 2254135913248 2535902902404 3381203869872 5071805804808 6762407739744 10143611609616 20287223219232