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5171753808 = 2432133189119
BaseRepresentation
bin1001101000100001…
…01011001101010000
3111100102120022111100
410310100223031100
541042432110213
62213104344400
7242106116304
oct46420531520
914312508440
105171753808
112214358201
121004015100
13645606270
14370c0dd04
15204081773
hex13442b350

5171753808 has 120 divisors (see below), whose sum is σ = 16090081280. Its totient is φ = 1539959040.

The previous prime is 5171753779. The next prime is 5171753819. The reversal of 5171753808 is 8083571715.

5171753808 is a `hidden beast` number, since 517 + 1 + 7 + 53 + 80 + 8 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 13473 + ... + 102591.

Almost surely, 25171753808 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 5171753808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8045040640).

5171753808 is an abundant number, since it is smaller than the sum of its proper divisors (10918327472).

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

5171753808 is a wasteful number, since it uses less digits than its factorization.

5171753808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89177 (or 89168 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The square root of 5171753808 is about 71914.9067162018. The cubic root of 5171753808 is about 1729.3355961619.

The spelling of 5171753808 in words is "five billion, one hundred seventy-one million, seven hundred fifty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 312 372 403 468 496 558 624 744 806 936 1116 1209 1488 1612 1872 2232 2418 3224 3627 4464 4836 6448 7254 9672 14508 19344 29016 58032 89119 178238 267357 356476 534714 712952 802071 1069428 1158547 1425904 1604142 2138856 2317094 2762689 3208284 3475641 4277712 4634188 5525378 6416568 6951282 8288067 9268376 10426923 11050756 12833136 13902564 16576134 18536752 20853846 22101512 24864201 27805128 33152268 35914957 41707692 44203024 49728402 55610256 66304536 71829914 83415384 99456804 107744871 132609072 143659828 166830768 198913608 215489742 287319656 323234613 397827216 430979484 574639312 646469226 861958968 1292938452 1723917936 2585876904 5171753808