Search a number
-
+
20453633064 = 2332284078237
BaseRepresentation
bin10011000011001000…
…011010110000101000
31221210110010012211100
4103003020122300220
5313342112224224
613221332201400
71322601004164
oct230310326050
957713105740
1020453633064
1187465a7287
123b69a69260
131c0c677177
14dc064bca4
157ea9c5ac9
hex4c321ac28

20453633064 has 24 divisors (see below), whose sum is σ = 55395256410. Its totient is φ = 6817877664.

The previous prime is 20453633063. The next prime is 20453633071. The reversal of 20453633064 is 46033635402.

20453633064 is a `hidden beast` number, since 204 + 5 + 363 + 30 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10880576100 + 9573056964 = 104310^2 + 97842^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×204536330642 (a number of 21 digits) contains 22 as substring.

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 (20453633063) 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 5 ways as a sum of consecutive naturals, for example, 142039047 + ... + 142039190.

Almost surely, 220453633064 is an apocalyptic number.

20453633064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20453633064 is an abundant number, since it is smaller than the sum of its proper divisors (34941623346).

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

20453633064 is a wasteful number, since it uses less digits than its factorization.

20453633064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284078249 (or 284078242 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 20453633064 in words is "twenty billion, four hundred fifty-three million, six hundred thirty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 284078237 568156474 852234711 1136312948 1704469422 2272625896 2556704133 3408938844 5113408266 6817877688 10226816532 20453633064