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4022002000000 = 27563164871
BaseRepresentation
bin111010100001110010000…
…000000010000010000000
3112020111111020100002220001
4322201302000002002000
51011344030003000000
612315403205125344
7563402646631525
oct72416200020200
915214436302801
104022002000000
1113107a3303946
1254b5a83b9854
1323237219ab4a
14dc94748114c
156e94c88146a
hex3a872002080

4022002000000 has 224 divisors, whose sum is σ = 10338842661120. Its totient is φ = 1556880000000.

The previous prime is 4022001999971. The next prime is 4022002000001. The reversal of 4022002000000 is 2002204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022002000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 61967565 + ... + 62032435.

Almost surely, 24022002000000 is an apocalyptic number.

4022002000000 is a gapful number since it is divisible by the number (40) 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 4022002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169421330560).

4022002000000 is an abundant number, since it is smaller than the sum of its proper divisors (6316840661120).

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

4022002000000 is an frugal number, since it uses more digits than its factorization.

4022002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64946 (or 64909 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 4022002000000 its reverse (2002204), we get a palindrome (4022004002204).

The spelling of 4022002000000 in words is "four trillion, twenty-two billion, two million", and thus it is an aban number.