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2011863296 = 2831793209
BaseRepresentation
bin111011111101010…
…1001100100000000
312012012200020121102
41313322221210000
513110014111141
6531345113532
7100566361442
oct16772514400
95165606542
102011863296
1194270a743
124819288a8
13260a6c071
141512a6492
15bb95799b
hex77ea9900

2011863296 has 72 divisors (see below), whose sum is σ = 4199193600. Its totient is φ = 960860160.

The previous prime is 2011863289. The next prime is 2011863299. The reversal of 2011863296 is 6923681102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2011863299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 625340 + ... + 628548.

Almost surely, 22011863296 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 2011863296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099596800).

2011863296 is an abundant number, since it is smaller than the sum of its proper divisors (2187330304).

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

2011863296 is an equidigital number, since it uses as much as digits as its factorization.

2011863296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 2011863296 is about 44853.7991256036. The cubic root of 2011863296 is about 1262.4072766068.

The spelling of 2011863296 in words is "two billion, eleven million, eight hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 64 79 124 128 158 248 256 316 496 632 992 1264 1984 2449 2528 3209 3968 4898 5056 6418 7936 9796 10112 12836 19592 20224 25672 39184 51344 78368 99479 102688 156736 198958 205376 253511 313472 397916 410752 507022 626944 795832 821504 1014044 1591664 2028088 3183328 4056176 6366656 7858841 8112352 12733312 15717682 16224704 25466624 31435364 32449408 62870728 64898816 125741456 251482912 502965824 1005931648 2011863296