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9925740125 = 5372192672
BaseRepresentation
bin10010011111001111…
…01100011001011101
3221121202000211201122
421033213230121131
5130311442141000
64320531020325
7500653253600
oct111747543135
927552024648
109925740125
114233904514
121b1013a6a5
13c224b9a12
146a2352337
153d15e0085
hex24f9ec65d

9925740125 has 108 divisors (see below), whose sum is σ = 15438441564. Its totient is φ = 6351760800.

The previous prime is 9925740113. The next prime is 9925740133. The reversal of 9925740125 is 5210475299.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 317623684 + 9608116441 = 17822^2 + 98021^2 .

It is not a de Polignac number, because 9925740125 - 28 = 9925739869 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 148145342 + ... + 148145408.

It is an arithmetic number, because the mean of its divisors is an integer number (142948533).

Almost surely, 29925740125 is an apocalyptic number.

9925740125 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9925740125 is a deficient number, since it is larger than the sum of its proper divisors (5512701439).

9925740125 is an equidigital number, since it uses as much as digits as its factorization.

9925740125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 44.

The square root of 9925740125 is about 99628.0087375031. The cubic root of 9925740125 is about 2149.0884995048.

The spelling of 9925740125 in words is "nine billion, nine hundred twenty-five million, seven hundred forty thousand, one hundred twenty-five".

Divisors: 1 5 7 19 25 35 49 67 95 125 133 175 245 335 361 469 475 665 875 931 1225 1273 1675 1805 2345 2375 2527 3283 3325 4489 4655 6125 6365 8375 8911 9025 11725 12635 16415 16625 17689 22445 23275 24187 31423 31825 44555 45125 58625 62377 63175 82075 85291 88445 112225 116375 120935 157115 159125 169309 219961 222775 311885 315875 410375 426455 442225 561125 597037 604675 785575 846545 1099805 1113875 1185163 1559425 1620529 2132275 2211125 2985185 3023375 3927875 4179259 4232725 5499025 5925815 7797125 8102645 10661375 11343703 14925925 20896295 21163625 27495125 29629075 40513225 56718515 74629625 79405921 104481475 148145375 202566125 283592575 397029605 522407375 1417962875 1985148025 9925740125