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2040264216 = 23321311991087
BaseRepresentation
bin111100110011011…
…1111011000011000
312021012010011100100
41321212333120120
513134301423331
6534241535400
7101362650114
oct17146773030
95235104310
102040264216
11957748781
1248b344560
13266904243
14154d7a744
15be1b7ae6
hex799bf618

2040264216 has 96 divisors (see below), whose sum is σ = 5601024000. Its totient is φ = 670887360.

The previous prime is 2040264211. The next prime is 2040264223. The reversal of 2040264216 is 6124620402.

2040264216 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 2 + 642 + 16 = 666.

It is a super-3 number, since 3×20402642163 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2040264216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040264211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1876425 + ... + 1877511.

It is an arithmetic number, because the mean of its divisors is an integer number (58344000).

Almost surely, 22040264216 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 2040264216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800512000).

2040264216 is an abundant number, since it is smaller than the sum of its proper divisors (3560759784).

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

2040264216 is a wasteful number, since it uses less digits than its factorization.

2040264216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2040264216 is about 45169.2839881263. The cubic root of 2040264216 is about 1268.3198929523.

Adding to 2040264216 its reverse (6124620402), we get a palindrome (8164884618).

It can be divided in two parts, 2040 and 264216, that added together give a square (266256 = 5162).

The spelling of 2040264216 in words is "two billion, forty million, two hundred sixty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 199 262 393 398 524 597 786 796 1048 1087 1179 1194 1572 1592 1791 2174 2358 2388 3144 3261 3582 4348 4716 4776 6522 7164 8696 9432 9783 13044 14328 19566 26069 26088 39132 52138 78207 78264 104276 142397 156414 208552 216313 234621 284794 312828 427191 432626 469242 569588 625656 648939 854382 865252 938484 1139176 1281573 1297878 1708764 1730504 1876968 1946817 2563146 2595756 3417528 3893634 5126292 5191512 7787268 10252584 15574536 28337003 56674006 85011009 113348012 170022018 226696024 255033027 340044036 510066054 680088072 1020132108 2040264216