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5213758446 = 23213292513061
BaseRepresentation
bin1001101101100001…
…11010001111101110
3111110100121101000200
410312300322033232
541134210232241
62221204534330
7243126133641
oct46660721756
914410541020
105213758446
112236037986
1210160b13a6
13651222390
14376625a58
15207acc4b6
hex136c3a3ee

5213758446 has 96 divisors (see below), whose sum is σ = 12639201120. Its totient is φ = 1542240000.

The previous prime is 5213758423. The next prime is 5213758469. The reversal of 5213758446 is 6448573125.

5213758446 is a `hidden beast` number, since 5 + 21 + 3 + 7 + 584 + 46 = 666.

It is an interprime number because it is at equal distance from previous prime (5213758423) and next prime (5213758469).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1701756 + ... + 1704816.

It is an arithmetic number, because the mean of its divisors is an integer number (131658345).

Almost surely, 25213758446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5213758446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319600560).

5213758446 is an abundant number, since it is smaller than the sum of its proper divisors (7425442674).

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

5213758446 is a wasteful number, since it uses less digits than its factorization.

5213758446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3359 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 5213758446 is about 72206.3601492279. The cubic root of 5213758446 is about 1734.0048271159.

The spelling of 5213758446 in words is "five billion, two hundred thirteen million, seven hundred fifty-eight thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 251 261 377 502 522 753 754 1131 1506 2259 2262 3061 3263 3393 4518 6122 6526 6786 7279 9183 9789 14558 18366 19578 21837 27549 29367 39793 43674 55098 58734 65511 79586 88769 94627 119379 131022 177538 189254 238758 266307 283881 358137 532614 567762 716274 768311 798921 851643 1153997 1536622 1597842 1703286 2304933 2307994 3461991 4609866 6914799 6923982 9988043 10385973 13829598 19976086 20771946 22281019 29964129 44562038 59928258 66843057 89892387 133686114 179784774 200529171 289653247 401058342 579306494 868959741 1737919482 2606879223 5213758446