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2063631000 = 233531375021
BaseRepresentation
bin111101100000000…
…1000001010011000
312022211002022112210
41323000020022120
513211242143000
6540434435120
7102065400624
oct17300101230
95284068483
102063631000
11969958572
12497132aa0
1326b6c5c42
14158100184
15c1281350
hex7b008298

2063631000 has 128 divisors (see below), whose sum is σ = 6486816960. Its totient is φ = 546176000.

The previous prime is 2063630993. The next prime is 2063631029. The reversal of 2063631000 is 1363602.

It is a super-2 number, since 2×20636310002 = 8517145808322000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408490 + ... + 413510.

Almost surely, 22063631000 is an apocalyptic number.

2063631000 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 2063631000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243408480).

2063631000 is an abundant number, since it is smaller than the sum of its proper divisors (4423185960).

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

2063631000 is a wasteful number, since it uses less digits than its factorization.

2063631000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5182 (or 5168 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 2063631000 is about 45427.2055050715. The cubic root of 2063631000 is about 1273.1434725709.

Adding to 2063631000 its reverse (1363602), we get a palindrome (2064994602).

The spelling of 2063631000 in words is "two billion, sixty-three million, six hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 137 150 200 250 274 300 375 411 500 548 600 685 750 822 1000 1096 1370 1500 1644 2055 2740 3000 3288 3425 4110 5021 5480 6850 8220 10042 10275 13700 15063 16440 17125 20084 20550 25105 27400 30126 34250 40168 41100 50210 51375 60252 68500 75315 82200 100420 102750 120504 125525 137000 150630 200840 205500 251050 301260 376575 411000 502100 602520 627625 687877 753150 1004200 1255250 1375754 1506300 1882875 2063631 2510500 2751508 3012600 3439385 3765750 4127262 5021000 5503016 6878770 7531500 8254524 10318155 13757540 15063000 16509048 17196925 20636310 27515080 34393850 41272620 51590775 68787700 82545240 85984625 103181550 137575400 171969250 206363100 257953875 343938500 412726200 515907750 687877000 1031815500 2063631000