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25484342401 = 7192333125169
BaseRepresentation
bin10111101110111111…
…000011010010000001
32102210001021201200101
4113232333003102001
5404142442424101
615412441522401
71561345223230
oct275677032201
972701251611
1025484342401
11a898279701
124b327a3401
13253199885b
14133a824b17
159e2496401
hex5eefc3481

25484342401 has 32 divisors (see below), whose sum is σ = 32088729600. Its totient is φ = 19733725440.

The previous prime is 25484342357. The next prime is 25484342419. The reversal of 25484342401 is 10424348452.

It is a cyclic number.

It is not a de Polignac number, because 25484342401 - 213 = 25484334209 is a prime.

It is a super-2 number, since 2×254843424012 (a number of 22 digits) contains 22 as substring.

It is a deceptive number, since it divides R25484342400.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25484342101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 999945 + ... + 1025113.

It is an arithmetic number, because the mean of its divisors is an integer number (1002772800).

Almost surely, 225484342401 is an apocalyptic number.

It is an amenable number.

25484342401 is a deficient number, since it is larger than the sum of its proper divisors (6604387199).

25484342401 is a wasteful number, since it uses less digits than its factorization.

25484342401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25549.

The product of its (nonzero) digits is 122880, while the sum is 37.

The spelling of 25484342401 in words is "twenty-five billion, four hundred eighty-four million, three hundred forty-two thousand, four hundred one".

Divisors: 1 7 19 23 133 161 331 437 2317 3059 6289 7613 25169 44023 53291 144647 176183 478211 578887 1012529 3347477 4052209 8330939 10998853 58316573 76991971 158287841 191611597 1108014887 1341281179 3640620343 25484342401