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145563005126 = 272111094332861
BaseRepresentation
bin1000011110010000111…
…0110011000011000110
3111220201112110211011002
42013210032303003012
54341103112131001
6150512024213302
713342121062100
oct2074416630306
9456645424132
10145563005126
1156807581240
122426490a232
131095a2656c6
14708c3a6570
153bbe2d946b
hex21e43b30c6

145563005126 has 96 divisors (see below), whose sum is σ = 280368617760. Its totient is φ = 56043187200.

The previous prime is 145563005083. The next prime is 145563005149. The reversal of 145563005126 is 621500365541.

It is a super-2 number, since 2×1455630051262 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145563005126.

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 47 ways as a sum of consecutive naturals, for example, 50876936 + ... + 50879796.

It is an arithmetic number, because the mean of its divisors is an integer number (2920506435).

Almost surely, 2145563005126 is an apocalyptic number.

145563005126 is a deficient number, since it is larger than the sum of its proper divisors (134805612634).

145563005126 is a wasteful number, since it uses less digits than its factorization.

145563005126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 145563005126 in words is "one hundred forty-five billion, five hundred sixty-three million, five thousand, one hundred twenty-six".

Divisors: 1 2 7 11 14 22 49 77 98 109 154 218 433 539 763 866 1078 1199 1526 2398 2861 3031 4763 5341 5722 6062 8393 9526 10682 16786 20027 21217 31471 33341 40054 42434 47197 58751 62942 66682 94394 117502 140189 220297 233387 280378 311849 330379 440594 466774 519167 623698 660758 1038334 1238813 1542079 2182943 2312653 2477626 3084158 3430339 3634169 4365886 4625306 6860678 7268338 8671691 13626943 15280601 17343382 24012373 25439183 27253886 30561202 48024746 50878366 60701837 95388601 121403674 135030617 168086611 190777202 270061234 336173222 667720207 945214319 1335440414 1485336787 1890428638 2970673574 6616500233 10397357509 13233000466 20794715018 72781502563 145563005126