Search a number
-
+
20943603600 = 24352411672549
BaseRepresentation
bin10011100000010101…
…100000011110010000
32000001121002022001020
4103200111200132100
5320343030303400
613342114035440
71341000456543
oct234025403620
960047068036
1020943603600
118978133407
124085b78b80
131c8a02a16a
14102975285a
15828a0c2a0
hex4e0560790

20943603600 has 240 divisors, whose sum is σ = 69164323200. Its totient is φ = 5413990400.

The previous prime is 20943603599. The next prime is 20943603601. The reversal of 20943603600 is 630634902.

It is an interprime number because it is at equal distance from previous prime (20943603599) and next prime (20943603601).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (20943603601) 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 47 ways as a sum of consecutive naturals, for example, 8215126 + ... + 8217674.

It is an arithmetic number, because the mean of its divisors is an integer number (288184680).

Almost surely, 220943603600 is an apocalyptic number.

20943603600 is a gapful number since it is divisible by the number (20) 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 20943603600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34582161600).

20943603600 is an abundant number, since it is smaller than the sum of its proper divisors (48220719600).

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

20943603600 is a wasteful number, since it uses less digits than its factorization.

20943603600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 20943603600 in words is "twenty billion, nine hundred forty-three million, six hundred three thousand, six hundred".