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4423828856832 = 2133573111931
BaseRepresentation
bin100000001100000000010…
…1111110110000000000000
3120122220200020110102100000
41000120000233312000000
51034440000141404312
613224140125200000
7634416413565000
oct100300057660000
916586606412300
104423828856832
111456154073880
125b544b400000
1326121c140658
1411418610c000
157a11983aadc
hex40600bf6000

4423828856832 has 2688 divisors, whose sum is σ = 18319601664000. Its totient is φ = 1053455155200.

The previous prime is 4423828856803. The next prime is 4423828856899. The reversal of 4423828856832 is 2386588283244.

It is a happy number.

4423828856832 is a `hidden beast` number, since 4 + 4 + 2 + 38 + 2 + 8 + 8 + 568 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 4423828856832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142704156657 + ... + 142704156687.

It is an arithmetic number, because the mean of its divisors is an integer number (6815328000).

Almost surely, 24423828856832 is an apocalyptic number.

4423828856832 is a gapful number since it is divisible by the number (42) 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 4423828856832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9159800832000).

4423828856832 is an abundant number, since it is smaller than the sum of its proper divisors (13895772807168).

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

4423828856832 is an equidigital number, since it uses as much as digits as its factorization.

4423828856832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 73 counting only the distinct ones).

The product of its digits is 141557760, while the sum is 63.

The spelling of 4423828856832 in words is "four trillion, four hundred twenty-three billion, eight hundred twenty-eight million, eight hundred fifty-six thousand, eight hundred thirty-two".