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641212512 = 25367131761
BaseRepresentation
bin100110001110000…
…010000001100000
31122200112222012120
4212032002001200
52303122300022
6143343224240
721614134143
oct4616020140
91580488176
10641212512
112a9a474a6
1215a8a8080
13a2ac82b5
146123405a
153b45dd5c
hex26382060

641212512 has 96 divisors (see below), whose sum is σ = 1723607424. Its totient is φ = 208665600.

The previous prime is 641212501. The next prime is 641212519. The reversal of 641212512 is 215212146.

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

It is a super-2 number, since 2×6412125122 = 822306971090700288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641212519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842212 + ... + 842972.

It is an arithmetic number, because the mean of its divisors is an integer number (17954244).

Almost surely, 2641212512 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 641212512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861803712).

641212512 is an abundant number, since it is smaller than the sum of its proper divisors (1082394912).

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

641212512 is a wasteful number, since it uses less digits than its factorization.

641212512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 964 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 641212512 is about 25322.1743142251. The cubic root of 641212512 is about 862.3177572528.

Adding to 641212512 its reverse (215212146), we get a palindrome (856424658).

The spelling of 641212512 in words is "six hundred forty-one million, two hundred twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 131 134 201 262 268 393 402 524 536 761 786 804 1048 1072 1522 1572 1608 2096 2144 2283 3044 3144 3216 4192 4566 6088 6288 6432 8777 9132 12176 12576 17554 18264 24352 26331 35108 36528 50987 52662 70216 73056 99691 101974 105324 140432 152961 199382 203948 210648 280864 299073 305922 398764 407896 421296 598146 611844 797528 815792 842592 1196292 1223688 1595056 1631584 2392584 2447376 3190112 4785168 4894752 6679297 9570336 13358594 20037891 26717188 40075782 53434376 80151564 106868752 160303128 213737504 320606256 641212512