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5577563420 = 225111313114887
BaseRepresentation
bin1010011000111001…
…01101110100011100
3112101201011120121222
411030130231310130
542410324012140
62321242312512
7255134335562
oct51434556434
915351146558
105577563420
112402430a50
1210b7ab8738
136ab6cccb0
143aca87a32
152299e15b5
hex14c72dd1c

5577563420 has 96 divisors (see below), whose sum is σ = 13866564096. Its totient is φ = 1857772800.

The previous prime is 5577563419. The next prime is 5577563447. The reversal of 5577563420 is 243657755.

It is a super-2 number, since 2×55775634202 = 62218427408244192800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 31 ways as a sum of consecutive naturals, for example, 367217 + ... + 382103.

It is an arithmetic number, because the mean of its divisors is an integer number (144443376).

Almost surely, 25577563420 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 5577563420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933282048).

5577563420 is an abundant number, since it is smaller than the sum of its proper divisors (8289000676).

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

5577563420 is a wasteful number, since it uses less digits than its factorization.

5577563420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15051 (or 15049 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 44.

The square root of 5577563420 is about 74683.0865725299. The cubic root of 5577563420 is about 1773.4332184898.

The spelling of 5577563420 in words is "five billion, five hundred seventy-seven million, five hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 131 143 220 260 262 286 524 572 655 715 1310 1430 1441 1703 2620 2860 2882 3406 5764 6812 7205 8515 14410 14887 17030 18733 28820 29774 34060 37466 59548 74435 74932 93665 148870 163757 187330 193531 297740 327514 374660 387062 655028 774124 818785 967655 1637570 1935310 1950197 2128841 3275140 3870620 3900394 4257682 7800788 8515364 9750985 10644205 19501970 21288410 21452167 25352561 39003940 42576820 42904334 50705122 85808668 101410244 107260835 126762805 214521670 253525610 278878171 429043340 507051220 557756342 1115512684 1394390855 2788781710 5577563420