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145505505555 = 325109199149069
BaseRepresentation
bin1000011110000011001…
…1011101000100010011
3111220120112021112120100
42013200303131010103
54340443402134210
6150502211543443
713340522250624
oct2074063350423
9456515245510
10145505505555
1156788078a33
12242495bab83
131094b3828a7
1470848b9a4b
153bb922c5c0
hex21e0cdd113

145505505555 has 48 divisors (see below), whose sum is σ = 255804120000. Its totient is φ = 76504082688.

The previous prime is 145505505517. The next prime is 145505505559. The reversal of 145505505555 is 555505505541.

145505505555 is a `hidden beast` number, since 1 + 45 + 5 + 0 + 5 + 50 + 5 + 555 = 666.

It is not a de Polignac number, because 145505505555 - 29 = 145505505043 is a prime.

It is a super-2 number, since 2×1455055055552 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 145505505555.

It is not an unprimeable number, because it can be changed into a prime (145505505559) 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 47 ways as a sum of consecutive naturals, for example, 901561 + ... + 1050629.

It is an arithmetic number, because the mean of its divisors is an integer number (5329252500).

Almost surely, 2145505505555 is an apocalyptic number.

145505505555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145505505555 is a deficient number, since it is larger than the sum of its proper divisors (110298614445).

145505505555 is a wasteful number, since it uses less digits than its factorization.

145505505555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149388 (or 149385 counting only the distinct ones).

The product of its (nonzero) digits is 1562500, while the sum is 45.

The spelling of 145505505555 in words is "one hundred forty-five billion, five hundred five million, five hundred five thousand, five hundred fifty-five".

Divisors: 1 3 5 9 15 45 109 199 327 545 597 981 995 1635 1791 2985 4905 8955 21691 65073 108455 149069 195219 325365 447207 745345 976095 1341621 2236035 6708105 16248521 29664731 48745563 81242605 88994193 146236689 148323655 243727815 266982579 444970965 731183445 1334912895 3233455679 9700367037 16167278395 29101101111 48501835185 145505505555