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5665351136 = 254143137733
BaseRepresentation
bin1010100011010111…
…00110010111100000
3112121211100122201212
411101223212113200
543100312214021
62334100045252
7260251455464
oct52153462740
915554318655
105665351136
112447a41185
121121393828
136c3958ca3
143ba5ba4a4
1523258285b
hex151ae65e0

5665351136 has 96 divisors (see below), whose sum is σ = 11792819808. Its totient is φ = 2675957760.

The previous prime is 5665351103. The next prime is 5665351151. The reversal of 5665351136 is 6311535665.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 5665351093 and 5665351102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7728626 + ... + 7729358.

It is an arithmetic number, because the mean of its divisors is an integer number (122841873).

Almost surely, 25665351136 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 5665351136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896409904).

5665351136 is an abundant number, since it is smaller than the sum of its proper divisors (6127468672).

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

5665351136 is a wasteful number, since it uses less digits than its factorization.

5665351136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 956 counting only the distinct ones).

The product of its digits is 243000, while the sum is 41.

The square root of 5665351136 is about 75268.5268621620. The cubic root of 5665351136 is about 1782.6891071652.

The spelling of 5665351136 in words is "five billion, six hundred sixty-five million, three hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 43 82 86 137 164 172 274 328 344 548 656 688 733 1096 1312 1376 1466 1763 2192 2932 3526 4384 5617 5864 5891 7052 11234 11728 11782 14104 22468 23456 23564 28208 30053 31519 44936 47128 56416 60106 63038 89872 94256 100421 120212 126076 179744 188512 200842 240424 241531 252152 401684 480848 483062 504304 803368 961696 966124 1008608 1292279 1606736 1932248 2584558 3213472 3864496 4117261 4318103 5169116 7728992 8234522 8636206 10338232 16469044 17272412 20676464 32938088 34544824 41352928 65876176 69089648 131752352 138179296 177042223 354084446 708168892 1416337784 2832675568 5665351136