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10139483025 = 3252741372
BaseRepresentation
bin10010111000101110…
…00011101110010001
3222011122020002212100
421130113003232101
5131231201424100
64354044151013
7506160120000
oct113427035621
928148202770
1010139483025
114333523741
121b6b838469
13c578763c9
146c28b0c37
153e5261400
hex25c5c3b91

10139483025 has 135 divisors (see below), whose sum is σ = 21342278321. Its totient is φ = 4601358720.

The previous prime is 10139482993. The next prime is 10139483027. The reversal of 10139483025 is 52038493101.

The square root of 10139483025 is 100695.

It is a perfect power (a square), and thus also a powerful number.

10139483025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 29582721 + 10109900304 = 5439^2 + 100548^2 .

It is not a de Polignac number, because 10139483025 - 25 = 10139482993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10139483027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 74010757 + ... + 74010893.

Almost surely, 210139483025 is an apocalyptic number.

10139483025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10139483025 is the 100695-th square number.

10139483025 is the 50348-th centered octagonal number.

It is an amenable number.

10139483025 is an abundant number, since it is smaller than the sum of its proper divisors (11202795296).

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

10139483025 is an frugal number, since it uses more digits than its factorization.

10139483025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 10139483025 by its sum of digits (36), we get a square (365021388900 = 6041702).

The spelling of 10139483025 in words is "ten billion, one hundred thirty-nine million, four hundred eighty-three thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 137 147 175 225 245 315 343 411 441 525 685 735 959 1029 1225 1233 1575 1715 2055 2205 2401 2877 3087 3425 3675 4795 5145 6165 6713 7203 8575 8631 10275 11025 12005 14385 15435 18769 20139 21609 23975 25725 30825 33565 36015 43155 46991 56307 60025 60417 71925 77175 93845 100695 108045 131383 140973 167825 168921 180075 215775 234955 281535 302085 328937 394149 422919 469225 503475 540225 656915 704865 844605 919681 986811 1174775 1182447 1407675 1510425 1644685 1970745 2114595 2759043 2960433 3284575 3524325 4223025 4598405 4934055 5912235 6437767 8223425 8277129 9853725 10572975 13795215 14802165 19313301 22992025 24670275 29561175 32188835 41385645 45064369 57939903 68976075 74010825 96566505 135193107 160944175 206928225 225321845 289699515 405579321 482832525 675965535 1126609225 1448497575 2027896605 3379827675 10139483025