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2870009016 = 233731737549
BaseRepresentation
bin1010101100010000…
…1101110010111000
321102000102120020020
42223010031302320
521334210242031
61152442130440
7131056450140
oct25304156270
97360376206
102870009016
111243055286
126811b0a20
1336979cbb4
141d3249920
1511be68096
hexab10dcb8

2870009016 has 128 divisors (see below), whose sum is σ = 8581632000. Its totient is φ = 782576640.

The previous prime is 2870008909. The next prime is 2870009017. The reversal of 2870009016 is 6109000782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2870009017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376410 + ... + 383958.

It is an arithmetic number, because the mean of its divisors is an integer number (67044000).

Almost surely, 22870009016 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 2870009016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290816000).

2870009016 is an abundant number, since it is smaller than the sum of its proper divisors (5711622984).

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

2870009016 is a wasteful number, since it uses less digits than its factorization.

2870009016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7669 (or 7665 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 2870009016 is about 53572.4650916868. The cubic root of 2870009016 is about 1421.1101904524.

Adding to 2870009016 its reverse (6109000782), we get a palindrome (8979009798).

The spelling of 2870009016 in words is "two billion, eight hundred seventy million, nine thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 73 84 93 124 146 168 186 217 219 248 292 372 434 438 511 584 651 744 868 876 1022 1302 1533 1736 1752 2044 2263 2604 3066 4088 4526 5208 6132 6789 7549 9052 12264 13578 15098 15841 18104 22647 27156 30196 31682 45294 47523 52843 54312 60392 63364 90588 95046 105686 126728 158529 181176 190092 211372 234019 317058 380184 422744 468038 551077 634116 702057 936076 1102154 1268232 1404114 1638133 1653231 1872152 2204308 2808228 3276266 3306462 3857539 4408616 4914399 5616456 6552532 6612924 7715078 9828798 11572617 13105064 13225848 15430156 17083387 19657596 23145234 30860312 34166774 39315192 46290468 51250161 68333548 92580936 102500322 119583709 136667096 205000644 239167418 358751127 410001288 478334836 717502254 956669672 1435004508 2870009016