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5427007245 = 32511731011487
BaseRepresentation
bin1010000110111100…
…11000111100001101
3112000012212112101100
411003132120330031
542103303212440
62254303333313
7251325541362
oct50336307415
915005775340
105427007245
112335449960
1210755b1239
13686467bba
14396a96469
1521b6a2230
hex143798f0d

5427007245 has 96 divisors (see below), whose sum is σ = 10512612864. Its totient is φ = 2567808000.

The previous prime is 5427007241. The next prime is 5427007279.

It is a happy number.

5427007245 is a `hidden beast` number, since 542 + 7 + 0 + 0 + 72 + 45 = 666.

5427007245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5427007245 - 22 = 5427007241 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5427007241) by changing a digit.

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, 3648892 + ... + 3650378.

It is an arithmetic number, because the mean of its divisors is an integer number (109506384).

Almost surely, 25427007245 is an apocalyptic number.

5427007245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5427007245 is a deficient number, since it is larger than the sum of its proper divisors (5085605619).

5427007245 is a wasteful number, since it uses less digits than its factorization.

5427007245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 5427007245 is about 73668.2241200370. The cubic root of 5427007245 is about 1757.3305828018.

It can be divided in two parts, 542700 and 7245, that added together give a palindrome (549945).

The spelling of 5427007245 in words is "five billion, four hundred twenty-seven million, seven thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 73 99 101 165 219 303 365 495 505 657 803 909 1095 1111 1487 1515 2409 3285 3333 4015 4461 4545 5555 7227 7373 7435 9999 12045 13383 16357 16665 22119 22305 36135 36865 49071 49995 66357 66915 81103 81785 108551 110595 147213 150187 243309 245355 325653 331785 405515 450561 542755 729927 736065 750935 976959 1194061 1216545 1351683 1628265 1652057 2252805 3582183 3649635 4884795 4956171 5970305 6758415 8260285 10746549 10963651 14868513 17910915 24780855 32890953 53732745 54818255 74342565 98672859 120600161 164454765 361800483 493364295 603000805 1085401449 1809002415 5427007245