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5541124032 = 26334768227
BaseRepresentation
bin1010010100100011…
…01101011111000000
3112022011121021012000
411022101231133000
542322011432112
62313501304000
7254212530363
oct51221553700
915264537160
105541124032
112393902554
1210a7865000
136a3cb2022
143a7cc00da
152266e47dc
hex14a46d7c0

5541124032 has 112 divisors (see below), whose sum is σ = 16636715520. Its totient is φ = 1807716096.

The previous prime is 5541124031. The next prime is 5541124037. The reversal of 5541124032 is 2304211455.

5541124032 is a `hidden beast` number, since 5 + 5 + 411 + 240 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5541123987 and 5541124005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5541124031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47103 + ... + 115329.

Almost surely, 25541124032 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 5541124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8318357760).

5541124032 is an abundant number, since it is smaller than the sum of its proper divisors (11095591488).

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

5541124032 is a wasteful number, since it uses less digits than its factorization.

5541124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68295 (or 68279 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5541124032 is about 74438.7266951820. The cubic root of 5541124032 is about 1769.5627072552.

Adding to 5541124032 its reverse (2304211455), we get a palindrome (7845335487).

The spelling of 5541124032 in words is "five billion, five hundred forty-one million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 141 144 188 192 216 282 288 376 423 432 564 576 752 846 864 1128 1269 1504 1692 1728 2256 2538 3008 3384 4512 5076 6768 9024 10152 13536 20304 27072 40608 68227 81216 136454 204681 272908 409362 545816 614043 818724 1091632 1228086 1637448 1842129 2183264 2456172 3206669 3274896 3684258 4366528 4912344 6413338 6549792 7368516 9620007 9824688 12826676 13099584 14737032 19240014 19649376 25653352 28860021 29474064 38480028 39298752 51306704 57720042 58948128 76960056 86580063 102613408 115440084 117896256 153920112 173160126 205226816 230880168 307840224 346320252 461760336 615680448 692640504 923520672 1385281008 1847041344 2770562016 5541124032