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2026630000 = 2454414943
BaseRepresentation
bin111100011001011…
…1110101101110000
312020020110110201101
41320302332231300
513122304130000
6533033414144
7101136033163
oct17062765560
95206413641
102026630000
1194aa8612a
1248686a354
13263b3c465
1415322bada
15bcdc2e6a
hex78cbeb70

2026630000 has 100 divisors (see below), whose sum is σ = 5027365728. Its totient is φ = 790720000.

The previous prime is 2026629967. The next prime is 2026630009. The reversal of 2026630000 is 366202.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 2026630000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2026630009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 407529 + ... + 412471.

Almost surely, 22026630000 is an apocalyptic number.

2026630000 is a gapful number since it is divisible by the number (20) 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 2026630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513682864).

2026630000 is an abundant number, since it is smaller than the sum of its proper divisors (3000735728).

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

2026630000 is an equidigital number, since it uses as much as digits as its factorization.

2026630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2026630000 is about 45018.1074679956. The cubic root of 2026630000 is about 1265.4883625290.

Adding to 2026630000 its reverse (366202), we get a palindrome (2026996202).

The spelling of 2026630000 in words is "two billion, twenty-six million, six hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 625 656 820 1000 1025 1250 1640 2000 2050 2500 3280 4100 4943 5000 5125 8200 9886 10000 10250 16400 19772 20500 24715 25625 39544 41000 49430 51250 79088 82000 98860 102500 123575 197720 202663 205000 247150 395440 405326 410000 494300 617875 810652 988600 1013315 1235750 1621304 1977200 2026630 2471500 3089375 3242608 4053260 4943000 5066575 6178750 8106520 9886000 10133150 12357500 16213040 20266300 24715000 25332875 40532600 49430000 50665750 81065200 101331500 126664375 202663000 253328750 405326000 506657500 1013315000 2026630000