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25534214304 = 2531934740343
BaseRepresentation
bin10111110001111101…
…010011000010100000
32102220112010111001220
4113301331103002200
5404243224324204
615421422455040
71562522145324
oct276175230240
972815114056
1025534214304
11a913442155
124b47434480
13253c10a861
1413432c7984
159e6a481d9
hex5f1f530a0

25534214304 has 96 divisors (see below), whose sum is σ = 70760148480. Its totient is φ = 8039999232.

The previous prime is 25534214281. The next prime is 25534214317. The reversal of 25534214304 is 40341243552.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×255342143042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 612757 + ... + 653099.

It is an arithmetic number, because the mean of its divisors is an integer number (737084880).

Almost surely, 225534214304 is an apocalyptic number.

25534214304 is a gapful number since it is divisible by the number (24) 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 25534214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380074240).

25534214304 is an abundant number, since it is smaller than the sum of its proper divisors (45225934176).

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

25534214304 is a wasteful number, since it uses less digits than its factorization.

25534214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40722 (or 40714 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 25534214304 its reverse (40341243552), we get a palindrome (65875457856).

The spelling of 25534214304 in words is "twenty-five billion, five hundred thirty-four million, two hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 347 456 608 694 912 1041 1388 1824 2082 2776 4164 5552 6593 8328 11104 13186 16656 19779 26372 33312 39558 40343 52744 79116 80686 105488 121029 158232 161372 210976 242058 316464 322744 484116 632928 645488 766517 968232 1290976 1533034 1936464 2299551 3066068 3872928 4599102 6132136 9198204 12264272 13999021 18396408 24528544 27998042 36792816 41997063 55996084 73585632 83994126 111992168 167988252 223984336 265981399 335976504 447968672 531962798 671953008 797944197 1063925596 1343906016 1595888394 2127851192 3191776788 4255702384 6383553576 8511404768 12767107152 25534214304