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2145899616 = 25375360251
BaseRepresentation
bin111111111100111…
…1101010001100000
312112112212222212120
41333321331101200
513343322241431
6552534024240
7104114563050
oct17771752140
95475788776
102145899616
11a01339163
124ba7a8080
1328276bab3
14164dd7560
15c85d2196
hex7fe7d460

2145899616 has 96 divisors (see below), whose sum is σ = 6559273728. Its totient is φ = 601536000.

The previous prime is 2145899551. The next prime is 2145899621. The reversal of 2145899616 is 6169985412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5491 + ... + 65741.

It is an arithmetic number, because the mean of its divisors is an integer number (68325768).

Almost surely, 22145899616 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 2145899616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279636864).

2145899616 is an abundant number, since it is smaller than the sum of its proper divisors (4413374112).

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

2145899616 is a wasteful number, since it uses less digits than its factorization.

2145899616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60324 (or 60316 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The square root of 2145899616 is about 46323.8557980659. The cubic root of 2145899616 is about 1289.8418603094.

The spelling of 2145899616 in words is "two billion, one hundred forty-five million, eight hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 168 212 224 318 336 371 424 636 672 742 848 1113 1272 1484 1696 2226 2544 2968 4452 5088 5936 8904 11872 17808 35616 60251 120502 180753 241004 361506 421757 482008 723012 843514 964016 1265271 1446024 1687028 1928032 2530542 2892048 3193303 3374056 5061084 5784096 6386606 6748112 9579909 10122168 12773212 13496224 19159818 20244336 22353121 25546424 38319636 40488672 44706242 51092848 67059363 76639272 89412484 102185696 134118726 153278544 178824968 268237452 306557088 357649936 536474904 715299872 1072949808 2145899616