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2039004912 = 2437193110303
BaseRepresentation
bin111100110001000…
…1011111011110000
312021002202011220110
41321202023323300
513133441124122
6534154541320
7101346153510
oct17142137360
95232664813
102039004912
11956a6862a
1248aa37840
13266582ca9
14154b2d840
15be01990c
hex7988bef0

2039004912 has 160 divisors (see below), whose sum is σ = 6541803520. Its totient is φ = 534055680.

The previous prime is 2039004911. The next prime is 2039004937. The reversal of 2039004912 is 2194009302.

It is a self number, because there is not a number n which added to its sum of digits gives 2039004912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039004911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192753 + ... + 203055.

It is an arithmetic number, because the mean of its divisors is an integer number (40886272).

Almost surely, 22039004912 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 2039004912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270901760).

2039004912 is an abundant number, since it is smaller than the sum of its proper divisors (4502798608).

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

2039004912 is a wasteful number, since it uses less digits than its factorization.

2039004912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10371 (or 10365 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2039004912 is about 45155.3420095563. The cubic root of 2039004912 is about 1268.0588925998.

The spelling of 2039004912 in words is "two billion, thirty-nine million, four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 38 42 48 56 57 62 76 84 93 112 114 124 133 152 168 186 217 228 248 266 304 336 372 399 434 456 496 532 589 651 744 798 868 912 1064 1178 1302 1488 1596 1736 1767 2128 2356 2604 3192 3472 3534 4123 4712 5208 6384 7068 8246 9424 10303 10416 12369 14136 16492 20606 24738 28272 30909 32984 41212 49476 61818 65968 72121 82424 98952 123636 144242 164848 195757 197904 216363 247272 288484 319393 391514 432726 494544 576968 587271 638786 783028 865452 958179 1153936 1174542 1277572 1370299 1566056 1730904 1916358 2235751 2349084 2555144 2740598 3132112 3461808 3832716 4110897 4471502 4698168 5110288 5481196 6068467 6707253 7665432 8221794 8943004 9396336 10962392 12136934 13414506 15330864 16443588 17886008 18205401 21924784 24273868 26829012 32887176 35772016 36410802 42479269 48547736 53658024 65774352 72821604 84958538 97095472 107316048 127437807 145643208 169917076 254875614 291286416 339834152 509751228 679668304 1019502456 2039004912