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644258016 = 25331096841
BaseRepresentation
bin100110011001101…
…001100011100000
31122220021200212000
4212121221203200
52304412224031
6143532404000
721652050153
oct4631514340
91586250760
10644258016
11300737646
1215b916600
13a362357c
14617c7c9a
153b8613e6
hex266698e0

644258016 has 96 divisors (see below), whose sum is σ = 1896602400. Its totient is φ = 212751360.

The previous prime is 644258011. The next prime is 644258033. The reversal of 644258016 is 610852446.

644258016 is a `hidden beast` number, since 64 + 4 + 2 + 580 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644258011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 90756 + ... + 97596.

It is an arithmetic number, because the mean of its divisors is an integer number (19756275).

Almost surely, 2644258016 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 644258016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948301200).

644258016 is an abundant number, since it is smaller than the sum of its proper divisors (1252344384).

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

644258016 is a wasteful number, since it uses less digits than its factorization.

644258016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6969 (or 6955 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 644258016 is about 25382.2381991817. The cubic root of 644258016 is about 863.6808234632.

The spelling of 644258016 in words is "six hundred forty-four million, two hundred fifty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 109 144 216 218 288 327 432 436 654 864 872 981 1308 1744 1962 2616 2943 3488 3924 5232 5886 6841 7848 10464 11772 13682 15696 20523 23544 27364 31392 41046 47088 54728 61569 82092 94176 109456 123138 164184 184707 218912 246276 328368 369414 492552 656736 738828 745669 985104 1477656 1491338 1970208 2237007 2955312 2982676 4474014 5910624 5965352 6711021 8948028 11930704 13422042 17896056 20133063 23861408 26844084 35792112 40266126 53688168 71584224 80532252 107376336 161064504 214752672 322129008 644258016