Search a number
-
+
4421920195008 = 2632109112135801
BaseRepresentation
bin100000001011000111011…
…1110111000000111000000
3120122201202012222100112100
41000112032332320013000
51034422043032220013
613223222504030400
7634321206331161
oct100261676700700
916581665870470
104421920195008
111455364741a08
125b4bb8162400
13260ca6896364
1411404482b768
157a056ebb473
hex4058efb81c0

4421920195008 has 168 divisors, whose sum is σ = 12698900572176. Its totient is φ = 1471154688000.

The previous prime is 4421920195003. The next prime is 4421920195013. The reversal of 4421920195008 is 8005910291244.

It is a happy number.

4421920195008 is a `hidden beast` number, since 4 + 42 + 1 + 92 + 0 + 19 + 500 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4421920195003) and next prime (4421920195013).

It is a super-2 number, since 2×44219201950082 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4421920195003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 762265708 + ... + 762271508.

It is an arithmetic number, because the mean of its divisors is an integer number (75588693882).

Almost surely, 24421920195008 is an apocalyptic number.

4421920195008 is a gapful number since it is divisible by the number (48) 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 4421920195008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349450286088).

4421920195008 is an abundant number, since it is smaller than the sum of its proper divisors (8276980377168).

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

4421920195008 is a wasteful number, since it uses less digits than its factorization.

4421920195008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8123 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 4421920195008 in words is "four trillion, four hundred twenty-one billion, nine hundred twenty million, one hundred ninety-five thousand, eight".