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5155541120 = 275292291213
BaseRepresentation
bin1001100110100101…
…10101000010000000
3111022022001121212102
410303102311002000
541024304303440
62211325045532
7241521243062
oct46322650200
914268047772
105155541120
112206194394
12bba6b68a8
1364214a962
1436c9cd732
1520292cb15
hex1334b5080

5155541120 has 128 divisors (see below), whose sum is σ = 12816198000. Its totient is φ = 1980776448.

The previous prime is 5155541117. The next prime is 5155541129. The reversal of 5155541120 is 211455515.

It can be written as a sum of positive squares in 8 ways, for example, as 2118208576 + 3037332544 = 46024^2 + 55112^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (5155541129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4249634 + ... + 4250846.

Almost surely, 25155541120 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 5155541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6408099000).

5155541120 is an abundant number, since it is smaller than the sum of its proper divisors (7660656880).

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

5155541120 is a wasteful number, since it uses less digits than its factorization.

5155541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 29.

The square root of 5155541120 is about 71802.0969053133. The cubic root of 5155541120 is about 1727.5266335985.

Adding to 5155541120 its reverse (211455515), we get a palindrome (5366996635).

The spelling of 5155541120 in words is "five billion, one hundred fifty-five million, five hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 229 232 290 320 458 464 580 640 916 928 1145 1160 1213 1832 1856 2290 2320 2426 3664 3712 4580 4640 4852 6065 6641 7328 9160 9280 9704 12130 13282 14656 18320 18560 19408 24260 26564 29312 33205 35177 36640 38816 48520 53128 66410 70354 73280 77632 97040 106256 132820 140708 146560 155264 175885 194080 212512 265640 277777 281416 351770 388160 425024 531280 555554 562832 703540 776320 850048 1062560 1111108 1125664 1388885 1407080 2125120 2222216 2251328 2777770 2814160 4250240 4444432 4502656 5555540 5628320 8055533 8888864 11111080 11256640 16111066 17777728 22222160 22513280 32222132 35555456 40277665 44444320 64444264 80555330 88888640 128888528 161110660 177777280 257777056 322221320 515554112 644442640 1031108224 1288885280 2577770560 5155541120