Search a number
-
+
5650442040600 = 23325279725717989
BaseRepresentation
bin101001000111001100010…
…0101110011010100011000
3202000011210000120100020100
41102032120211303110120
51220034101130244400
620003435514455400
71122142135612050
oct122163045632430
922004700510210
105650442040600
111889380252815
12773115734560
1331cab0232376
141576a8d46560
159beaab4e100
hex52398973518

5650442040600 has 576 divisors, whose sum is σ = 21996988977600. Its totient is φ = 1273170493440.

The previous prime is 5650442040557. The next prime is 5650442040611. The reversal of 5650442040600 is 60402440565.

5650442040600 is a `hidden beast` number, since 5 + 6 + 5 + 0 + 4 + 4 + 2 + 0 + 40 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 314096406 + ... + 314114394.

It is an arithmetic number, because the mean of its divisors is an integer number (38189216975).

Almost surely, 25650442040600 is an apocalyptic number.

5650442040600 is a gapful number since it is divisible by the number (50) 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 5650442040600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10998494488800).

5650442040600 is an abundant number, since it is smaller than the sum of its proper divisors (16346546937000).

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

5650442040600 is a wasteful number, since it uses less digits than its factorization.

5650442040600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18372 (or 18360 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 5650442040600 in words is "five trillion, six hundred fifty billion, four hundred forty-two million, forty thousand, six hundred".