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5349320784 = 243383193773
BaseRepresentation
bin1001111101101100…
…00010100001010000
3111210210200122121000
410332312002201100
541423411231114
62242450302000
7246363322263
oct47666024120
914723618530
105349320784
1122a5608975
121053587900
13673337892
1438a632cda
15214958e09
hex13ed82850

5349320784 has 160 divisors (see below), whose sum is σ = 15640248960. Its totient is φ = 1750228992.

The previous prime is 5349320783. The next prime is 5349320869. The reversal of 5349320784 is 4870239435.

5349320784 is a `hidden beast` number, since 534 + 9 + 32 + 0 + 7 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5349320783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6919822 + ... + 6920594.

It is an arithmetic number, because the mean of its divisors is an integer number (97751556).

Almost surely, 25349320784 is an apocalyptic number.

5349320784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5349320784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7820124480).

5349320784 is an abundant number, since it is smaller than the sum of its proper divisors (10290928176).

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

5349320784 is a wasteful number, since it uses less digits than its factorization.

5349320784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5349320784 is about 73139.0510192742. The cubic root of 5349320784 is about 1748.9049785235.

The spelling of 5349320784 in words is "five billion, three hundred forty-nine million, three hundred twenty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 193 216 249 332 386 432 498 579 664 747 772 773 996 1158 1328 1494 1544 1546 1737 1992 2241 2316 2319 2988 3088 3092 3474 3984 4482 4632 4638 5211 5976 6184 6948 6957 8964 9264 9276 10422 11952 12368 13896 13914 16019 17928 18552 20844 20871 27792 27828 32038 35856 37104 41688 41742 48057 55656 64076 64159 83376 83484 96114 111312 128152 128318 144171 149189 166968 192228 192477 256304 256636 288342 298378 333936 384456 384954 432513 447567 513272 576684 577431 596756 768912 769908 865026 895134 1026544 1153368 1154862 1193512 1342701 1539816 1730052 1732293 1790268 2306736 2309724 2387024 2685402 3079632 3460104 3464586 3580536 4028103 4619448 5370804 6920208 6929172 7161072 8056206 9238896 10741608 12382687 13858344 16112412 21483216 24765374 27716688 32224824 37148061 49530748 64449648 74296122 99061496 111444183 148592244 198122992 222888366 297184488 334332549 445776732 594368976 668665098 891553464 1337330196 1783106928 2674660392 5349320784