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2097845824 = 262313910253
BaseRepresentation
bin111110100001010…
…1001011001000000
312102012110121110111
41331002221121000
513244022031244
6544100041104
7102662252404
oct17502513100
95365417414
102097845824
119871a7688
124a6693194
132758154b9
1415c889104
15c428de34
hex7d0a9640

2097845824 has 56 divisors (see below), whose sum is σ = 4375586880. Its totient is φ = 996002304.

The previous prime is 2097845809. The next prime is 2097845839. The reversal of 2097845824 is 4285487902.

It is an interprime number because it is at equal distance from previous prime (2097845809) and next prime (2097845839).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199482 + ... + 209734.

It is an arithmetic number, because the mean of its divisors is an integer number (78135480).

Almost surely, 22097845824 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 2097845824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187793440).

2097845824 is an abundant number, since it is smaller than the sum of its proper divisors (2277741056).

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

2097845824 is a wasteful number, since it uses less digits than its factorization.

2097845824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10427 (or 10417 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The square root of 2097845824 is about 45802.2469317827. The cubic root of 2097845824 is about 1280.1411432900.

The spelling of 2097845824 in words is "two billion, ninety-seven million, eight hundred forty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 139 184 278 368 556 736 1112 1472 2224 3197 4448 6394 8896 10253 12788 20506 25576 41012 51152 82024 102304 164048 204608 235819 328096 471638 656192 943276 1425167 1886552 2850334 3773104 5700668 7546208 11401336 15092416 22802672 32778841 45605344 65557682 91210688 131115364 262230728 524461456 1048922912 2097845824