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21490066000 = 245313826541
BaseRepresentation
bin10100000000111010…
…000110001001010000
32001110200100110112101
4110000322012021100
5323002424103000
613512234410144
71360354355434
oct240072061120
961420313471
1021490066000
119128644727
1241b8b90954
1320462cc3b0
14107c1609c4
1585b9a1e6a
hex500e86250

21490066000 has 80 divisors (see below), whose sum is σ = 55960199568. Its totient is φ = 7934784000.

The previous prime is 21490065997. The next prime is 21490066051. The reversal of 21490066000 is 66009412.

It can be written as a sum of positive squares in 8 ways, for example, as 11670048784 + 9820017216 = 108028^2 + 99096^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 21490066000.

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 15 ways as a sum of consecutive naturals, for example, 387271 + ... + 439270.

Almost surely, 221490066000 is an apocalyptic number.

21490066000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21490066000 is an abundant number, since it is smaller than the sum of its proper divisors (34470133568).

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

21490066000 is a wasteful number, since it uses less digits than its factorization.

21490066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826577 (or 826561 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

It can be divided in two parts, 214900 and 66000, that added together give a square (280900 = 5302).

The spelling of 21490066000 in words is "twenty-one billion, four hundred ninety million, sixty-six thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 826541 1653082 3306164 4132705 6612328 8265410 10745033 13224656 16530820 20663525 21490066 33061640 41327050 42980132 53725165 66123280 82654100 85960264 103317625 107450330 165308200 171920528 206635250 214900660 268625825 330616400 413270500 429801320 537251650 826541000 859602640 1074503300 1343129125 1653082000 2149006600 2686258250 4298013200 5372516500 10745033000 21490066000