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5133800448 = 21032779579
BaseRepresentation
bin1001100011111111…
…11001010000000000
3111020210011002021100
410301333321100000
541003223103243
62205231054400
7241135404150
oct46177712000
914223132240
105133800448
1121a4995297
12bb3371400
1363a7a815a
14369b70760
15200a860d3
hex131ff9400

5133800448 has 132 divisors (see below), whose sum is σ = 16941627040. Its totient is φ = 1466781696.

The previous prime is 5133800417. The next prime is 5133800509. The reversal of 5133800448 is 8440083315.

5133800448 is a `hidden beast` number, since 5 + 133 + 80 + 0 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24723 + ... + 104301.

Almost surely, 25133800448 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 5133800448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8470813520).

5133800448 is an abundant number, since it is smaller than the sum of its proper divisors (11807826592).

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

5133800448 is a wasteful number, since it uses less digits than its factorization.

5133800448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79612 (or 79591 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5133800448 is about 71650.5439476910. The cubic root of 5133800448 is about 1725.0949129881.

The spelling of 5133800448 in words is "five billion, one hundred thirty-three million, eight hundred thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 21504 32256 64512 79579 159158 238737 318316 477474 557053 636632 716211 954948 1114106 1273264 1432422 1671159 1909896 2228212 2546528 2864844 3342318 3819792 4456424 5013477 5093056 5729688 6684636 7639584 8912848 10026954 10186112 11459376 13369272 15279168 17825696 20053908 20372224 22918752 26738544 30558336 35651392 40107816 40744448 45837504 53477088 61116672 71302784 80215632 81488896 91675008 106954176 122233344 142605568 160431264 183350016 213908352 244466688 285211136 320862528 366700032 427816704 570422272 641725056 733400064 855633408 1283450112 1711266816 2566900224 5133800448