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16024541130 = 23251326011753
BaseRepresentation
bin11101110110010001…
…10001011111001010
31112100210000000220100
432323020301133022
5230304240304010
611210033310230
71105050231543
oct167310613712
945323000810
1016024541130
116883487a24
123132705376
131684b99600
14ac031d4ca
1563bc422c0
hex3bb2317ca

16024541130 has 144 divisors (see below), whose sum is σ = 45216092376. Its totient is φ = 3935692800.

The previous prime is 16024541089. The next prime is 16024541131. The reversal of 16024541130 is 3114542061.

It is a happy number.

16024541130 is a `hidden beast` number, since 1 + 6 + 0 + 245 + 411 + 3 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 569824641 + 15454716489 = 23871^2 + 124317^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16024541094 and 16024541103.

It is not an unprimeable number, because it can be changed into a prime (16024541131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9140334 + ... + 9142086.

Almost surely, 216024541130 is an apocalyptic number.

16024541130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16024541130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22608046188).

16024541130 is an abundant number, since it is smaller than the sum of its proper divisors (29191551246).

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

16024541130 is a wasteful number, since it uses less digits than its factorization.

16024541130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 16024541130 in words is "sixteen billion, twenty-four million, five hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 601 845 1014 1170 1202 1521 1690 1753 1803 2535 3005 3042 3506 3606 5070 5259 5409 6010 7605 7813 8765 9015 10518 10818 15210 15626 15777 17530 18030 22789 23439 26295 27045 31554 39065 45578 46878 52590 54090 68367 70317 78130 78885 101569 113945 117195 136734 140634 157770 203138 205101 227890 234390 296257 304707 341835 351585 410202 507845 592514 609414 683670 703170 888771 914121 1015690 1025505 1053553 1481285 1523535 1777542 1828242 2051010 2107106 2666313 2962570 3047070 3160659 4443855 4570605 5267765 5332626 6321318 8887710 9141210 9481977 10535530 13331565 13696189 15803295 18963954 26663130 27392378 31606590 41088567 47409885 68480945 82177134 94819770 123265701 136961890 178050457 205442835 246531402 356100914 410885670 534151371 616328505 890252285 1068302742 1232657010 1602454113 1780504570 2670756855 3204908226 5341513710 8012270565 16024541130