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2146450896 = 2432234713789
BaseRepresentation
bin111111111110000…
…0011110111010000
312112120221000002100
41333330003313100
513343442412041
6552553520400
7104122350222
oct17774036720
95476830070
102146450896
11a01685367
124baa13100
132829029b5
141650dc412
15c86906b6
hex7ff03dd0

2146450896 has 120 divisors (see below), whose sum is σ = 6402090240. Its totient is φ = 669765888.

The previous prime is 2146450879. The next prime is 2146450897. The reversal of 2146450896 is 6980546412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146450897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148770 + ... + 162558.

It is an arithmetic number, because the mean of its divisors is an integer number (53350752).

Almost surely, 22146450896 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 2146450896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201045120).

2146450896 is an abundant number, since it is smaller than the sum of its proper divisors (4255639344).

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

2146450896 is a wasteful number, since it uses less digits than its factorization.

2146450896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13873 (or 13864 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2146450896 is about 46329.8056978442. The cubic root of 2146450896 is about 1289.9523039874.

The spelling of 2146450896 in words is "two billion, one hundred forty-six million, four hundred fifty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 47 48 69 72 92 94 138 141 144 184 188 207 276 282 368 376 414 423 552 564 752 828 846 1081 1104 1128 1656 1692 2162 2256 3243 3312 3384 4324 6486 6768 8648 9729 12972 13789 17296 19458 25944 27578 38916 41367 51888 55156 77832 82734 110312 124101 155664 165468 220624 248202 317147 330936 496404 634294 648083 661872 951441 992808 1268588 1296166 1902882 1944249 1985616 2537176 2592332 2854323 3805764 3888498 5074352 5184664 5708646 5832747 7611528 7776996 10369328 11417292 11665494 14905909 15223056 15553992 22834584 23330988 29811818 31107984 44717727 45669168 46661976 59623636 89435454 93323952 119247272 134153181 178870908 238494544 268306362 357741816 536612724 715483632 1073225448 2146450896