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21056057000 = 2353112174017
BaseRepresentation
bin10011100111000010…
…011110111010101000
32000100102200112002222
4103213002132322220
5321110322311000
613401212213212
71343534350166
oct234702367250
960312615088
1021056057000
118a25660300
1240b776a208
131ca7411134
14103a666236
15833821a85
hex4e709eea8

21056057000 has 96 divisors (see below), whose sum is σ = 54157881960. Its totient is φ = 7656704000.

The previous prime is 21056056981. The next prime is 21056057003. The reversal of 21056057000 is 75065012.

It can be written as a sum of positive squares in 4 ways, for example, as 12732414244 + 8323642756 = 112838^2 + 91234^2 .

It is not an unprimeable number, because it can be changed into a prime (21056057003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33992 + ... + 208008.

Almost surely, 221056057000 is an apocalyptic number.

21056057000 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 21056057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27078940980).

21056057000 is an abundant number, since it is smaller than the sum of its proper divisors (33101824960).

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

21056057000 is a wasteful number, since it uses less digits than its factorization.

21056057000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174060 (or 174035 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The spelling of 21056057000 in words is "twenty-one billion, fifty-six million, fifty-seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 174017 348034 696068 870085 1392136 1740170 1914187 3480340 3828374 4350425 6960680 7656748 8700850 9570935 15313496 17401700 19141870 21056057 21752125 34803400 38283740 42112114 43504250 47854675 76567480 84224228 87008500 95709350 105280285 168448456 174017000 191418700 210560570 239273375 382837400 421121140 478546750 526401425 842242280 957093500 1052802850 1914187000 2105605700 2632007125 4211211400 5264014250 10528028500 21056057000