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20126424132 = 223462118593
BaseRepresentation
bin10010101111101000…
…001101110001000100
31220221122102021120000
4102233220031301010
5312204331033012
613125043041300
71311515532243
oct225750156104
956848367500
1020126424132
118598929381
123a98370230
131b89940909
14d8cdd495a
157cbddeddc
hex4afa0dc44

20126424132 has 30 divisors (see below), whose sum is σ = 52614449118. Its totient is φ = 6708807936.

The previous prime is 20126424089. The next prime is 20126424163. The reversal of 20126424132 is 23142462102.

20126424132 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 642 + 4 + 13 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16319040516 + 3807383616 = 127746^2 + 61704^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20126424096 and 20126424105.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 31058973 + ... + 31059620.

Almost surely, 220126424132 is an apocalyptic number.

It is an amenable number.

20126424132 is an abundant number, since it is smaller than the sum of its proper divisors (32488024986).

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

20126424132 is a wasteful number, since it uses less digits than its factorization.

20126424132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62118609 (or 62118598 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 20126424132 its reverse (23142462102), we get a palindrome (43268886234).

The spelling of 20126424132 in words is "twenty billion, one hundred twenty-six million, four hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 62118593 124237186 186355779 248474372 372711558 559067337 745423116 1118134674 1677202011 2236269348 3354404022 5031606033 6708808044 10063212066 20126424132