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6014145452 = 2273189127613
BaseRepresentation
bin1011001100111100…
…01001001110101100
3120112010200020120212
411212132021032230
544304110123302
62432440001552
7302015251520
oct54636111654
916463606525
106014145452
112606912547
1211ba1602b8
1374acac463
14410a51d80
15252ece052
hex1667893ac

6014145452 has 96 divisors (see below), whose sum is σ = 12675317760. Its totient is φ = 2442908160.

The previous prime is 6014145413. The next prime is 6014145497. The reversal of 6014145452 is 2545414106.

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 31 ways as a sum of consecutive naturals, for example, 9810698 + ... + 9811310.

It is an arithmetic number, because the mean of its divisors is an integer number (132034560).

Almost surely, 26014145452 is an apocalyptic number.

6014145452 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6014145452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337658880).

6014145452 is an abundant number, since it is smaller than the sum of its proper divisors (6661172308).

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

6014145452 is a wasteful number, since it uses less digits than its factorization.

6014145452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 6014145452 is about 77550.9216708609. The cubic root of 6014145452 is about 1818.5474716566.

Adding to 6014145452 its reverse (2545414106), we get a palindrome (8559559558).

The spelling of 6014145452 in words is "six billion, fourteen million, one hundred forty-five thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 28 31 62 89 124 127 178 217 254 356 434 508 613 623 868 889 1226 1246 1778 2452 2492 2759 3556 3937 4291 5518 7874 8582 11036 11303 15748 17164 19003 19313 22606 27559 38006 38626 45212 54557 55118 76012 77252 77851 79121 109114 110236 133021 155702 158242 218228 266042 311404 316484 350393 381899 532084 544957 700786 763798 1089914 1401572 1527596 1691267 2179828 2413381 2452751 3382534 4826762 4905502 6765068 6928739 9653524 9811004 11838869 13857478 16893667 23677738 27714956 33787334 47355476 48501173 67574668 97002346 194004692 214790909 429581818 859163636 1503536363 3007072726 6014145452