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36040298112 = 2735721317107
BaseRepresentation
bin100001100100001010…
…110100111010000000
310110000201011211200000
4201210022310322000
51042302304014422
624320124400000
72414053323300
oct414412647200
9113021154600
1036040298112
1114314899445
126b999a6000
1335249002b0
141a5c747600
15e0e071cac
hex8642b4e80

36040298112 has 1152 divisors, whose sum is σ = 143992779840. Its totient is φ = 8862400512.

The previous prime is 36040298069. The next prime is 36040298113. The reversal of 36040298112 is 21189204063.

36040298112 is a `hidden beast` number, since 360 + 4 + 0 + 298 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36040298113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 336825163 + ... + 336825269.

Almost surely, 236040298112 is an apocalyptic number.

36040298112 is a gapful number since it is divisible by the number (32) 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 36040298112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71996389920).

36040298112 is an abundant number, since it is smaller than the sum of its proper divisors (107952481728).

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

36040298112 is a wasteful number, since it uses less digits than its factorization.

36040298112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 36040298112 in words is "thirty-six billion, forty million, two hundred ninety-eight thousand, one hundred twelve".