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25114202848 = 257273219407
BaseRepresentation
bin10111011000111011…
…000101001011100000
32101211020210200200001
4113120323011023200
5402413213442343
615312020305344
71546232126200
oct273073051340
971736720601
1025114202848
11a718349349
124a4a842254
1324a30b0877
1413035d4400
159bec3044d
hex5d8ec52e0

25114202848 has 72 divisors (see below), whose sum is σ = 58304165472. Its totient is φ = 10615739904.

The previous prime is 25114202821. The next prime is 25114202863. The reversal of 25114202848 is 84820241152.

It is a super-2 number, since 2×251142028482 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4761 + ... + 224167.

It is an arithmetic number, because the mean of its divisors is an integer number (809780076).

Almost surely, 225114202848 is an apocalyptic number.

25114202848 is a gapful number since it is divisible by the number (28) 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 25114202848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29152082736).

25114202848 is an abundant number, since it is smaller than the sum of its proper divisors (33189962624).

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

25114202848 is a wasteful number, since it uses less digits than its factorization.

25114202848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219504 (or 219489 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The spelling of 25114202848 in words is "twenty-five billion, one hundred fourteen million, two hundred two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 73 98 112 146 196 224 292 392 511 584 784 1022 1168 1568 2044 2336 3577 4088 7154 8176 14308 16352 28616 57232 114464 219407 438814 877628 1535849 1755256 3071698 3510512 6143396 7021024 10750943 12286792 16016711 21501886 24573584 32033422 43003772 49147168 64066844 86007544 112116977 128133688 172015088 224233954 256267376 344030176 448467908 512534752 784818839 896935816 1569637678 1793871632 3139275356 3587743264 6278550712 12557101424 25114202848