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2051463330 = 232575475953
BaseRepresentation
bin111101001000110…
…1101100010100010
312021222012010122100
41322101231202202
513200133311310
6535321551230
7101560102440
oct17221554242
95258163570
102051463330
11962aa7844
12493045516
13269025837
14156653b90
15c017aec0
hex7a46d8a2

2051463330 has 96 divisors (see below), whose sum is σ = 6107946624. Its totient is φ = 467970048.

The previous prime is 2051463329. The next prime is 2051463353. The reversal of 2051463330 is 333641502.

It is a happy number.

2051463330 is a `hidden beast` number, since 20 + 5 + 1 + 4 + 633 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2051463294 and 2051463303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341634 + ... + 347586.

It is an arithmetic number, because the mean of its divisors is an integer number (63624444).

Almost surely, 22051463330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2051463330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053973312).

2051463330 is an abundant number, since it is smaller than the sum of its proper divisors (4056483294).

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

2051463330 is a wasteful number, since it uses less digits than its factorization.

2051463330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6520 (or 6517 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 2051463330 is about 45293.0825844300. The cubic root of 2051463330 is about 1270.6362839680.

The spelling of 2051463330 in words is "two billion, fifty-one million, four hundred sixty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 547 630 1094 1641 2735 3282 3829 4923 5470 5953 7658 8205 9846 11487 11906 16410 17859 19145 22974 24615 29765 34461 35718 38290 41671 49230 53577 57435 59530 68922 83342 89295 107154 114870 125013 172305 178590 208355 250026 267885 344610 375039 416710 535770 625065 750078 1250130 1875195 3256291 3750390 6512582 9768873 16281455 19537746 22794037 29306619 32562910 45588074 48844365 58613238 68382111 97688730 113970185 136764222 146533095 205146333 227940370 293066190 341910555 410292666 683821110 1025731665 2051463330