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2136818232 = 23347094651
BaseRepresentation
bin111111101011101…
…0100001000111000
312111220210121120000
41333113110020320
513334011140412
6552011233000
7103644440523
oct17727241070
95456717500
102136818232
119a71a618a
124b7748760
1328090c3b3
14163b11bba
15c78db4dc
hex7f5d4238

2136818232 has 80 divisors (see below), whose sum is σ = 5994799800. Its totient is φ = 711115200.

The previous prime is 2136818209. The next prime is 2136818239. The reversal of 2136818232 is 2328186312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136818239) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 457107 + ... + 461757.

Almost surely, 22136818232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136818232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997399900).

2136818232 is an abundant number, since it is smaller than the sum of its proper divisors (3857981568).

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

2136818232 is a wasteful number, since it uses less digits than its factorization.

2136818232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378 (or 5365 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2136818232 is about 46225.7312759896. The cubic root of 2136818232 is about 1288.0197632733.

The spelling of 2136818232 in words is "two billion, one hundred thirty-six million, eight hundred eighteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 709 1418 2127 2836 4254 4651 5672 6381 8508 9302 12762 13953 17016 18604 19143 25524 27906 37208 38286 41859 51048 55812 57429 76572 83718 111624 114858 125577 153144 167436 229716 251154 334872 376731 459432 502308 753462 1004616 1506924 3013848 3297559 6595118 9892677 13190236 19785354 26380472 29678031 39570708 59356062 79141416 89034093 118712124 178068186 237424248 267102279 356136372 534204558 712272744 1068409116 2136818232