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5407148571 = 31117291272617
BaseRepresentation
bin1010000100100101…
…01000101000011011
3111221211111121101220
411002102220220123
542033212223241
62252313543123
7250665001356
oct50222505033
914854447356
105407148571
112325215830
12106aa14aa3
13682303bc6
143941a729d
15219a7d166
hex1424a8a1b

5407148571 has 64 divisors (see below), whose sum is σ = 8685895680. Its totient is φ = 2953359360.

The previous prime is 5407148521. The next prime is 5407148623. The reversal of 5407148571 is 1758417045.

It is not a de Polignac number, because 5407148571 - 26 = 5407148507 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5407148501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2064855 + ... + 2067471.

It is an arithmetic number, because the mean of its divisors is an integer number (135717120).

Almost surely, 25407148571 is an apocalyptic number.

5407148571 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

5407148571 is a deficient number, since it is larger than the sum of its proper divisors (3278747109).

5407148571 is a wasteful number, since it uses less digits than its factorization.

5407148571 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804.

The product of its (nonzero) digits is 156800, while the sum is 42.

The square root of 5407148571 is about 73533.3160614969. The cubic root of 5407148571 is about 1755.1844700211.

The spelling of 5407148571 in words is "five billion, four hundred seven million, one hundred forty-eight thousand, five hundred seventy-one".

Divisors: 1 3 11 17 29 33 51 87 127 187 319 381 493 561 957 1397 1479 2159 2617 3683 4191 5423 6477 7851 11049 16269 23749 28787 40513 44489 62611 71247 75893 86361 121539 133467 187833 227679 332359 489379 688721 834823 997077 1290181 1468137 2066163 2504469 3655949 3870543 5650103 9638411 10967847 14191991 16950309 28915233 42575973 62151133 106022521 163852987 186453399 318067563 491558961 1802382857 5407148571