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36228397842 = 23272132172292
BaseRepresentation
bin100001101111011000…
…010111101100010010
310110111211010021222200
4201233120113230102
51043143432212332
624350524144030
72421526205100
oct415730275422
9113454107880
1036228397842
1114400a9356a
127030998016
13355487bb00
141a7970cc70
15e2082a17c
hex86f617b12

36228397842 has 486 divisors, whose sum is σ = 108779506173. Its totient is φ = 8682605568.

The previous prime is 36228397841. The next prime is 36228397889. The reversal of 36228397842 is 24879382263.

36228397842 is a `hidden beast` number, since 3 + 622 + 8 + 3 + 9 + 7 + 8 + 4 + 2 = 666.

36228397842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 14 ways, for example, as 181198521 + 36047199321 = 13461^2 + 189861^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=134589.

It is not an unprimeable number, because it can be changed into a prime (36228397841) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1249255084 + ... + 1249255112.

Almost surely, 236228397842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36228397842

36228397842 is an abundant number, since it is smaller than the sum of its proper divisors (72551108331).

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

36228397842 is a wasteful number, since it uses less digits than its factorization.

36228397842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 71 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 36228397842 in words is "thirty-six billion, two hundred twenty-eight million, three hundred ninety-seven thousand, eight hundred forty-two".