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61145147484 = 2234533560747
BaseRepresentation
bin111000111100100010…
…001110100001011100
312211211022101022210000
4320330202032201130
52000211124204414
644031212414300
74263143115051
oct707442164134
9184738338700
1061145147484
1123a27929343
12ba25477390
1359c5a87655
142d609c5028
1518cd055b09
hexe3c88e85c

61145147484 has 60 divisors (see below), whose sum is σ = 162861492024. Its totient is φ = 19997149536.

The previous prime is 61145147473. The next prime is 61145147533. The reversal of 61145147484 is 48474154116.

61145147484 is a `hidden beast` number, since 6 + 114 + 51 + 4 + 7 + 484 = 666.

It is a super-2 number, since 2×611451474842 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 19 ways as a sum of consecutive naturals, for example, 1763202 + ... + 1797545.

Almost surely, 261145147484 is an apocalyptic number.

It is an amenable number.

61145147484 is an abundant number, since it is smaller than the sum of its proper divisors (101716344540).

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

61145147484 is a wasteful number, since it uses less digits than its factorization.

61145147484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560816 (or 3560805 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 61145147484 in words is "sixty-one billion, one hundred forty-five million, one hundred forty-seven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1431 1908 2862 4293 5724 8586 17172 3560747 7121494 10682241 14242988 21364482 32046723 42728964 64093446 96140169 128186892 188719591 192280338 288420507 377439182 384560676 566158773 576841014 754878364 1132317546 1153682028 1698476319 2264635092 3396952638 5095428957 6793905276 10190857914 15286286871 20381715828 30572573742 61145147484