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25142542096 = 24748092
BaseRepresentation
bin10111011010100111…
…001011111100010000
32101220020010110210211
4113122213023330100
5402442442321341
615314511533504
71550025040000
oct273247137420
971806113724
1025142542096
11a732345011
124a5822a294
1324a8c23959
141307290000
159c247c181
hex5da9cbf10

25142542096 has 75 divisors (see below), whose sum is σ = 56899572821. Its totient is φ = 10762055808.

The previous prime is 25142542027. The next prime is 25142542099. The reversal of 25142542096 is 69024524152.

The square root of 25142542096 is 158564.

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

It can be written as a sum of positive squares in only one way, i.e., 22130727696 + 3011814400 = 148764^2 + 54880^2 .

It is not an unprimeable number, because it can be changed into a prime (25142542099) 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 14 ways as a sum of consecutive naturals, for example, 31078140 + ... + 31078948.

Almost surely, 225142542096 is an apocalyptic number.

25142542096 is the 158564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25142542096

25142542096 is an abundant number, since it is smaller than the sum of its proper divisors (31757030725).

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

25142542096 is an frugal number, since it uses more digits than its factorization.

25142542096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 25142542096 in words is "twenty-five billion, one hundred forty-two million, five hundred forty-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 809 1372 1618 2401 2744 3236 4802 5488 5663 6472 9604 11326 12944 19208 22652 38416 39641 45304 79282 90608 158564 277487 317128 554974 634256 654481 1109948 1308962 1942409 2219896 2617924 3884818 4439792 4581367 5235848 7769636 9162734 10471696 15539272 18325468 31078544 32069569 36650936 64139138 73301872 128278276 224486983 256556552 448973966 513113104 897947932 1571408881 1795895864 3142817762 3591791728 6285635524 12571271048 25142542096