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2071845336 = 2331123834111
BaseRepresentation
bin111101101111101…
…1101100111011000
312100101112122111110
41323133131213120
513220343022321
6541330500320
7102225252261
oct17337354730
95311478443
102071845336
11973559080
12499a346a0
13270310ab2
1415923b968
15c1d55176
hex7b7dd9d8

2071845336 has 128 divisors (see below), whose sum is σ = 5968650240. Its totient is φ = 593155200.

The previous prime is 2071845331. The next prime is 2071845337. The reversal of 2071845336 is 6335481702.

It is a junction number, because it is equal to n+sod(n) for n = 2071845294 and 2071845303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071845331) 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, 501921 + ... + 506031.

It is an arithmetic number, because the mean of its divisors is an integer number (46630080).

Almost surely, 22071845336 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 2071845336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984325120).

2071845336 is an abundant number, since it is smaller than the sum of its proper divisors (3896804904).

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

2071845336 is a wasteful number, since it uses less digits than its factorization.

2071845336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2071845336 is about 45517.5277887541. The cubic root of 2071845336 is about 1274.8304961900.

The spelling of 2071845336 in words is "two billion, seventy-one million, eight hundred forty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 83 88 92 132 138 166 184 249 253 264 276 332 498 506 552 664 759 913 996 1012 1518 1826 1909 1992 2024 2739 3036 3652 3818 4111 5478 5727 6072 7304 7636 8222 10956 11454 12333 15272 16444 20999 21912 22908 24666 32888 41998 45221 45816 49332 62997 83996 90442 94553 98664 125994 135663 167992 180884 189106 251988 271326 283659 341213 361768 378212 503976 542652 567318 682426 756424 1023639 1040083 1085304 1134636 1364852 2047278 2080166 2269272 2729704 3120249 3753343 4094556 4160332 6240498 7506686 7847899 8189112 8320664 11260029 12480996 15013372 15695798 22520058 23543697 24961992 30026744 31391596 45040116 47087394 62783192 86326889 90080232 94174788 172653778 188349576 258980667 345307556 517961334 690615112 1035922668 2071845336