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2018464136 = 231361373853
BaseRepresentation
bin111100001001111…
…0101000110001000
312012200002121020222
41320103311012020
513113211323021
6532142405212
7101006443043
oct17023650610
95180077228
102018464136
11946408a87
12483b90808
132622406a0
14152103c5a
15bc30d6ab
hex784f5188

2018464136 has 64 divisors (see below), whose sum is σ = 4158535920. Its totient is φ = 912798720.

The previous prime is 2018464121. The next prime is 2018464159. The reversal of 2018464136 is 6314648102.

It can be written as a sum of positive squares in 8 ways, for example, as 2992900 + 2015471236 = 1730^2 + 44894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2018464096 and 2018464105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2365886 + ... + 2366738.

Almost surely, 22018464136 is an apocalyptic number.

2018464136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2018464136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079267960).

2018464136 is an abundant number, since it is smaller than the sum of its proper divisors (2140071784).

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

2018464136 is a wasteful number, since it uses less digits than its factorization.

2018464136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 2018464136 is about 44927.3205967149. The cubic root of 2018464136 is about 1263.7864047160.

The spelling of 2018464136 in words is "two billion, eighteen million, four hundred sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 373 488 746 793 853 1492 1586 1706 2984 3172 3412 4849 6344 6824 9698 11089 19396 22178 22753 38792 44356 45506 52033 88712 91012 104066 182024 208132 295789 318169 416264 591578 636338 676429 1183156 1272676 1352858 2366312 2545352 2705716 4136197 5411432 8272394 16544788 19408309 33089576 38816618 77633236 155266472 252308017 504616034 1009232068 2018464136