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10368754203025 = 521724328812
BaseRepresentation
bin1001011011100010100111…
…1010010011100110010001
31100201020120022022200021101
42112320221322103212101
52324340202033444100
634015201231224401
72120055252350311
oct226705172234621
940636508280241
1010368754203025
113338400486709
1211b564a978101
135a2a00293caa
1427bbc9635441
1512eaad67c86a
hex96e29e93991

10368754203025 has 81 divisors (see below), whose sum is σ = 13998958811283. Its totient is φ = 7616846899200.

The previous prime is 10368754202971. The next prime is 10368754203043. The reversal of 10368754203025 is 52030245786301.

The square root of 10368754203025 is 3220055.

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

10368754203025 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 13 ways, for example, as 7200254522241 + 3168499680784 = 2683329^2 + 1780028^2 .

It is not a de Polignac number, because 10368754203025 - 219 = 10368753678737 is a prime.

It is a super-2 number, since 2×103687542030252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11769300585 + ... + 11769301465.

Almost surely, 210368754203025 is an apocalyptic number.

10368754203025 is the 3220055-th square number.

10368754203025 is the 1610028-th centered octagonal number.

It is an amenable number.

10368754203025 is a deficient number, since it is larger than the sum of its proper divisors (3630204608258).

10368754203025 is an frugal number, since it uses more digits than its factorization.

10368754203025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

Adding to 10368754203025 its reverse (52030245786301), we get a palindrome (62398999989326).

The spelling of 10368754203025 in words is "ten trillion, three hundred sixty-eight billion, seven hundred fifty-four million, two hundred three thousand, twenty-five".

Divisors: 1 5 17 25 43 85 215 289 425 731 881 1075 1445 1849 3655 4405 7225 9245 12427 14977 18275 22025 31433 37883 46225 62135 74885 157165 189415 254609 310675 374425 534361 644011 776161 785825 947075 1273045 1628969 2671805 3220055 3880805 6365225 8144845 10948187 13194737 13359025 16100275 19404025 27692473 33374923 40724225 54740935 65973685 138462365 166874615 224310529 273704675 329868425 470772041 567373691 692311825 834373075 1121552645 1435121689 2353860205 2836868455 5607763225 7175608445 9645352747 11769301025 14184342275 24397068713 35878042225 48226763735 121985343565 241133818675 414750168121 609926717825 2073750840605 10368754203025