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5161231616 = 28296731033
BaseRepresentation
bin1001100111010001…
…00010010100000000
3111022200202201202112
410303220202110000
541032233402431
62212051034452
7241620513332
oct46350422400
914280681675
105161231616
112209420782
12100059ba28
13643390b08
1436d671452
152031a3c2b
hex133a22500

5161231616 has 72 divisors (see below), whose sum is σ = 10683722280. Its totient is φ = 2485518336.

The previous prime is 5161231601. The next prime is 5161231651. The reversal of 5161231616 is 6161321615.

It can be written as a sum of positive squares in 4 ways, for example, as 1722582016 + 3438649600 = 41504^2 + 58640^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4995836 + ... + 4996868.

Almost surely, 25161231616 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 5161231616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5341861140).

5161231616 is an abundant number, since it is smaller than the sum of its proper divisors (5522490664).

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

5161231616 is a wasteful number, since it uses less digits than its factorization.

5161231616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1737 counting only the distinct ones).

The product of its digits is 6480, while the sum is 32.

The square root of 5161231616 is about 71841.7122290386. The cubic root of 5161231616 is about 1728.1619932724.

The spelling of 5161231616 in words is "five billion, one hundred sixty-one million, two hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 673 928 1033 1346 1856 2066 2692 3712 4132 5384 7424 8264 10768 16528 19517 21536 29957 33056 39034 43072 59914 66112 78068 86144 119828 132224 156136 172288 239656 264448 312272 479312 624544 695209 958624 1249088 1390418 1917248 2498176 2780836 3834496 4996352 5561672 7668992 11123344 20161061 22246688 40322122 44493376 80644244 88986752 161288488 177973504 322576976 645153952 1290307904 2580615808 5161231616