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5436112224 = 253378318439
BaseRepresentation
bin1010001000000010…
…00111110101100000
3112000212000010001210
411010001013311200
542113121042344
62255230430120
7251466122454
oct50401076540
915025003053
105436112224
11233a5a8634
121078662340
1368830526a
14397d86664
1521c39edb9
hex144047d60

5436112224 has 96 divisors (see below), whose sum is σ = 14832840960. Its totient is φ = 1741727232.

The previous prime is 5436112217. The next prime is 5436112259. The reversal of 5436112224 is 4222116345.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×54361122242 = 59102632223844452352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5436112191 and 5436112200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285597 + ... + 304035.

It is an arithmetic number, because the mean of its divisors is an integer number (154508760).

Almost surely, 25436112224 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 5436112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7416420480).

5436112224 is an abundant number, since it is smaller than the sum of its proper divisors (9396728736).

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

5436112224 is a wasteful number, since it uses less digits than its factorization.

5436112224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18572 (or 18564 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 5436112224 is about 73729.9954157058. The cubic root of 5436112224 is about 1758.3128011518.

Adding to 5436112224 its reverse (4222116345), we get a palindrome (9658228569).

The spelling of 5436112224 in words is "five billion, four hundred thirty-six million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 83 96 111 148 166 222 249 296 332 444 498 592 664 888 996 1184 1328 1776 1992 2656 3071 3552 3984 6142 7968 9213 12284 18426 18439 24568 36852 36878 49136 55317 73704 73756 98272 110634 147408 147512 221268 294816 295024 442536 590048 682243 885072 1364486 1530437 1770144 2046729 2728972 3060874 4093458 4591311 5457944 6121748 8186916 9182622 10915888 12243496 16373832 18365244 21831776 24486992 32747664 36730488 48973984 56626169 65495328 73460976 113252338 146921952 169878507 226504676 339757014 453009352 679514028 906018704 1359028056 1812037408 2718056112 5436112224