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5161016016 = 2432138930977
BaseRepresentation
bin1001100111001111…
…01101101011010000
3111022200100210000100
410303213231223100
541032210003031
62212042252400
7241615624632
oct46347555320
914280323010
105161016016
1122092937a2
1210004b7100
13643316940
1436d616a52
1520315ede6
hex1339edad0

5161016016 has 120 divisors (see below), whose sum is σ = 15730008840. Its totient is φ = 1570111488.

The previous prime is 5161015949. The next prime is 5161016027. The reversal of 5161016016 is 6106101615.

5161016016 is a `hidden beast` number, since 51 + 6 + 1 + 0 + 1 + 601 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 852406416 + 4308609600 = 29196^2 + 65640^2 .

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, 151120 + ... + 182096.

It is an arithmetic number, because the mean of its divisors is an integer number (131083407).

Almost surely, 25161016016 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 5161016016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7865004420).

5161016016 is an abundant number, since it is smaller than the sum of its proper divisors (10568992824).

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

5161016016 is a wasteful number, since it uses less digits than its factorization.

5161016016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31093 (or 31084 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 5161016016 is about 71840.2116923384. The cubic root of 5161016016 is about 1728.1379294480.

The spelling of 5161016016 in words is "five billion, one hundred sixty-one million, sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 89 104 117 144 156 178 208 234 267 312 356 468 534 624 712 801 936 1068 1157 1424 1602 1872 2136 2314 3204 3471 4272 4628 6408 6942 9256 10413 12816 13884 18512 20826 27768 30977 41652 55536 61954 83304 92931 123908 166608 185862 247816 278793 371724 402701 495632 557586 743448 805402 1115172 1208103 1486896 1610804 2230344 2416206 2756953 3221608 3624309 4460688 4832412 5513906 6443216 7248618 8270859 9664824 11027812 14497236 16541718 19329648 22055624 24812577 28994472 33083436 35840389 44111248 49625154 57988944 66166872 71680778 99250308 107521167 132333744 143361556 198500616 215042334 286723112 322563501 397001232 430084668 573446224 645127002 860169336 1290254004 1720338672 2580508008 5161016016