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2119689216 = 2103376667
BaseRepresentation
bin111111001010111…
…1110010000000000
312110201120100222000
41332111332100000
513320120023331
6550200144000
7103346026641
oct17625762000
95421510860
102119689216
11998566977
124b1a68000
1327a1c2998
141617336c8
15c61560e6
hex7e57e400

2119689216 has 88 divisors (see below), whose sum is σ = 6277575840. Its totient is φ = 706553856.

The previous prime is 2119689203. The next prime is 2119689241. The reversal of 2119689216 is 6129869112.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10686 + ... + 65981.

Almost surely, 22119689216 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 2119689216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138787920).

2119689216 is an abundant number, since it is smaller than the sum of its proper divisors (4157886624).

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

2119689216 is an equidigital number, since it uses as much as digits as its factorization.

2119689216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76696 (or 76672 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 2119689216 is about 46040.0827106121. The cubic root of 2119689216 is about 1284.5688805936.

The spelling of 2119689216 in words is "two billion, one hundred nineteen million, six hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 13824 27648 76667 153334 230001 306668 460002 613336 690003 920004 1226672 1380006 1840008 2070009 2453344 2760012 3680016 4140018 4906688 5520024 7360032 8280036 9813376 11040048 14720064 16560072 19626752 22080096 29440128 33120144 39253504 44160192 58880256 66240288 78507008 88320384 117760512 132480576 176640768 235521024 264961152 353281536 529922304 706563072 1059844608 2119689216