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5706166416 = 2431723213219
BaseRepresentation
bin1010101000001110…
…10011000010010000
3112201200011021202220
411110013103002100
543141234311131
62342114541040
7261255420456
oct52407230220
915650137686
105706166416
112468a89315
121132b97780
136cc249942
143c1ba29d6
15235e45e96
hex1541d3090

5706166416 has 120 divisors (see below), whose sum is σ = 16317393120. Its totient is φ = 1712206848.

The previous prime is 5706166409. The next prime is 5706166429. The reversal of 5706166416 is 6146616075.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425055 + ... + 438273.

It is an arithmetic number, because the mean of its divisors is an integer number (135978276).

Almost surely, 25706166416 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 5706166416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158696560).

5706166416 is an abundant number, since it is smaller than the sum of its proper divisors (10611226704).

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

5706166416 is a wasteful number, since it uses less digits than its factorization.

5706166416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13293 (or 13264 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 5706166416 is about 75539.1714013332. The cubic root of 5706166416 is about 1786.9599173983.

The spelling of 5706166416 in words is "five billion, seven hundred six million, one hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 368 391 408 529 552 782 816 1058 1104 1173 1564 1587 2116 2346 3128 3174 4232 4692 6256 6348 8464 8993 9384 12696 13219 17986 18768 25392 26438 26979 35972 39657 52876 53958 71944 79314 105752 107916 143888 158628 211504 215832 224723 304037 317256 431664 449446 608074 634512 674169 898892 912111 1216148 1348338 1797784 1824222 2432296 2696676 3595568 3648444 4864592 5168629 5393352 6992851 7296888 10337258 10786704 13985702 14593776 15505887 20674516 20978553 27971404 31011774 41349032 41957106 55942808 62023548 82698064 83914212 111885616 118878467 124047096 167828424 237756934 248094192 335656848 356635401 475513868 713270802 951027736 1426541604 1902055472 2853083208 5706166416