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5605246504 = 23111353193479
BaseRepresentation
bin1010011100001100…
…10100011000101000
3112110122021000200101
411032012110120220
542434420342004
62324111515144
7255621544354
oct51606243050
915418230611
105605246504
112417019730
121105228ab4
136b4373510
143b2612464
1522c15dba4
hex14e194628

5605246504 has 128 divisors (see below), whose sum is σ = 12671769600. Its totient is φ = 2290728960.

The previous prime is 5605246483. The next prime is 5605246583. The reversal of 5605246504 is 4056425065.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11701737 + ... + 11702215.

It is an arithmetic number, because the mean of its divisors is an integer number (98998200).

Almost surely, 25605246504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5605246504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6335884800).

5605246504 is an abundant number, since it is smaller than the sum of its proper divisors (7066523096).

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

5605246504 is a wasteful number, since it uses less digits than its factorization.

5605246504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The square root of 5605246504 is about 74868.1942082217. The cubic root of 5605246504 is about 1776.3624008513.

The spelling of 5605246504 in words is "five billion, six hundred five million, two hundred forty-six thousand, five hundred four".

Divisors: 1 2 4 8 11 13 22 26 44 52 53 88 104 106 143 193 212 286 386 424 479 572 583 689 772 958 1144 1166 1378 1544 1916 2123 2332 2509 2756 3832 4246 4664 5018 5269 5512 6227 7579 8492 10036 10229 10538 12454 15158 16984 20072 20458 21076 24908 25387 27599 30316 40916 42152 49816 50774 55198 60632 68497 81832 92447 101548 110396 112519 132977 136994 184894 203096 220792 225038 265954 273988 279257 330031 369788 450076 531908 547976 558514 660062 739576 900152 1016917 1063816 1117028 1201811 1320124 1462747 2033834 2234056 2403622 2640248 2925494 3630341 4067668 4807244 4899691 5850988 7260682 8135336 9614488 9799382 11701976 13219921 14521364 19598764 26439842 29042728 39197528 52879684 53896601 63695983 105759368 107793202 127391966 215586404 254783932 431172808 509567864 700655813 1401311626 2802623252 5605246504