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20436092064 = 2532109364921
BaseRepresentation
bin10011000010000101…
…100000010010100000
31221202020010001002200
4103002011200102200
5313323114421224
613215504213200
71322265626223
oct230205402240
957666101080
1020436092064
118737706493
123b6400a200
131c08b4508b
14dbc1a35ba
157e91ad5c9
hex4c21604a0

20436092064 has 72 divisors (see below), whose sum is σ = 58169203092. Its totient is φ = 6805693440.

The previous prime is 20436092059. The next prime is 20436092069. The reversal of 20436092064 is 46029063402.

20436092064 is a `hidden beast` number, since 2 + 0 + 43 + 609 + 2 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (20436092059) and next prime (20436092069).

It can be written as a sum of positive squares in 2 ways, for example, as 20422696464 + 13395600 = 142908^2 + 3660^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (20436092069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282324 + ... + 347244.

Almost surely, 220436092064 is an apocalyptic number.

20436092064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20436092064 is an abundant number, since it is smaller than the sum of its proper divisors (37733111028).

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

20436092064 is a wasteful number, since it uses less digits than its factorization.

20436092064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66030 (or 66019 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 20436092064 in words is "twenty billion, four hundred thirty-six million, ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1093 2186 3279 4372 6558 8744 9837 13116 17488 19674 26232 34976 39348 52464 64921 78696 104928 129842 157392 194763 259684 314784 389526 519368 584289 779052 1038736 1168578 1558104 2077472 2337156 3116208 4674312 6232416 9348624 18697248 70958653 141917306 212875959 283834612 425751918 567669224 638627877 851503836 1135338448 1277255754 1703007672 2270676896 2554511508 3406015344 5109023016 6812030688 10218046032 20436092064