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2073898512 = 243373122123
BaseRepresentation
bin111101110011101…
…0010111000010000
312100112101221221000
41323213102320100
513221404223022
6541442502000
7102251563230
oct17347227020
95315357830
102073898512
11974730714
1249a664900
1327087c4aa
14159613cc0
15c210d6ac
hex7b9d2e10

2073898512 has 160 divisors (see below), whose sum is σ = 7023042560. Its totient is φ = 573402240.

The previous prime is 2073898501. The next prime is 2073898517. The reversal of 2073898512 is 2158983702.

It is a happy number.

2073898512 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2073898517) 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, 82683 + ... + 104805.

It is an arithmetic number, because the mean of its divisors is an integer number (43894016).

Almost surely, 22073898512 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 2073898512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511521280).

2073898512 is an abundant number, since it is smaller than the sum of its proper divisors (4949144048).

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

2073898512 is a wasteful number, since it uses less digits than its factorization.

2073898512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22178 (or 22166 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2073898512 is about 45540.0758892648. The cubic root of 2073898512 is about 1275.2514715056.

The spelling of 2073898512 in words is "two billion, seventy-three million, eight hundred ninety-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 558 651 744 756 837 868 1008 1116 1302 1488 1512 1674 1736 1953 2232 2604 3024 3348 3472 3906 4464 5208 5859 6696 7812 10416 11718 13392 15624 22123 23436 31248 44246 46872 66369 88492 93744 132738 154861 176984 199107 265476 309722 353968 398214 464583 530952 597321 619444 685813 796428 929166 1061904 1194642 1238888 1371626 1393749 1592856 1858332 2057439 2389284 2477776 2743252 2787498 3185712 3716664 4114878 4181247 4778568 4800691 5486504 5574996 6172317 7433328 8229756 8362494 9557136 9601382 10973008 11149992 12344634 14402073 16459512 16724988 18516951 19202764 22299984 24689268 28804146 32919024 33449976 37033902 38405528 43206219 49378536 57608292 66899952 74067804 76811056 86412438 98757072 115216584 129618657 148135608 172824876 230433168 259237314 296271216 345649752 518474628 691299504 1036949256 2073898512