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5605400325 = 352731931129
BaseRepresentation
bin1010011100001101…
…11001111100000101
3112110122112211200110
411032012321330011
542434440302300
62324115103233
7255623055000
oct51606717405
915418484613
105605400325
112417114258
1211052a1b19
136b43c8535
143b2652537
1522c18e550
hex14e1b9f05

5605400325 has 96 divisors (see below), whose sum is σ = 10873312000. Its totient is φ = 2546933760.

The previous prime is 5605400303. The next prime is 5605400341. The reversal of 5605400325 is 5230045065.

It is not a de Polignac number, because 5605400325 - 26 = 5605400261 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5605400292 and 5605400301.

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 95 ways as a sum of consecutive naturals, for example, 4964361 + ... + 4965489.

Almost surely, 25605400325 is an apocalyptic number.

It is an amenable number.

5605400325 is a deficient number, since it is larger than the sum of its proper divisors (5267911675).

5605400325 is a wasteful number, since it uses less digits than its factorization.

5605400325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 5605400325 is about 74869.2214798578. The cubic root of 5605400325 is about 1776.3786498745.

The spelling of 5605400325 in words is "five billion, six hundred five million, four hundred thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 193 245 343 525 579 735 965 1029 1129 1225 1351 1715 2895 3387 3675 4053 4825 5145 5645 6755 7903 8575 9457 14475 16935 20265 23709 25725 28225 28371 33775 39515 47285 55321 66199 84675 101325 118545 141855 165963 197575 198597 217897 236425 276605 330995 387247 592725 653691 709275 829815 992985 1089485 1161741 1383025 1525279 1654975 1936235 3268455 4149075 4575837 4964925 5447425 5808705 7626395 9681175 10676953 16342275 22879185 29043525 32030859 38131975 53384765 74738671 114395925 160154295 224216013 266923825 373693355 800771475 1121080065 1868466775 5605400325