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644438016 = 2113234963
BaseRepresentation
bin100110011010010…
…101100000000000
31122220121211202200
4212122111200000
52304434004031
6143540313200
721653430015
oct4632254000
91586554680
10644438016
1130084a902
1215b9a2800
13a3687491
146183370c
153b8998e6
hex26695800

644438016 has 72 divisors (see below), whose sum is σ = 1861308540. Its totient is φ = 214806528.

The previous prime is 644437973. The next prime is 644438021. The reversal of 644438016 is 610834446.

644438016 is a `hidden beast` number, since 644 + 4 + 3 + 8 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 951 + ... + 35913.

Almost surely, 2644438016 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 644438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930654270).

644438016 is an abundant number, since it is smaller than the sum of its proper divisors (1216870524).

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

644438016 is a wasteful number, since it uses less digits than its factorization.

644438016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34991 (or 34968 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 644438016 is about 25385.7837381476. The cubic root of 644438016 is about 863.7612509050.

The spelling of 644438016 in words is "six hundred forty-four million, four hundred thirty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 34963 69926 104889 139852 209778 279704 314667 419556 559408 629334 839112 1118816 1258668 1678224 2237632 2517336 3356448 4475264 5034672 6712896 8950528 10069344 13425792 17901056 20138688 26851584 35802112 40277376 53703168 71604224 80554752 107406336 161109504 214812672 322219008 644438016