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4421961621504 = 213367139761
BaseRepresentation
bin100000001011001000101…
…1100111010000000000000
3120122201212002221001000000
41000112101130322000000
51034422134133342004
613223230544000000
7634322221420140
oct100262134720000
916581762831000
104421961621504
111455386067289
125b500a000000
13260cb233c28b
1411404a132920
157a05a950c39
hex4059173a000

4421961621504 has 784 divisors, whose sum is σ = 15282224919360. Its totient is φ = 1252680007680.

The previous prime is 4421961621437. The next prime is 4421961621523. The reversal of 4421961621504 is 4051261691244.

4421961621504 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 9 + 616 + 21 + 5 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4421961621504.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 5810724484 + ... + 5810725244.

Almost surely, 24421961621504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4421961621504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641112459680).

4421961621504 is an abundant number, since it is smaller than the sum of its proper divisors (10860263297856).

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

4421961621504 is an frugal number, since it uses more digits than its factorization.

4421961621504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4421961621504 in words is "four trillion, four hundred twenty-one billion, nine hundred sixty-one million, six hundred twenty-one thousand, five hundred four".