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2097648288 = 253211536317
BaseRepresentation
bin111110100000111…
…1001001010100000
312102012002120111100
41331001321022200
513243444221123
6544051514400
7102660500451
oct17501711240
95365076440
102097648288
1198708222a
124a65b8a00
13275776608
1415c837128
15c4250643
hex7d0792a0

2097648288 has 72 divisors (see below), whose sum is σ = 5971306068. Its totient is φ = 698499072.

The previous prime is 2097648253. The next prime is 2097648313. The reversal of 2097648288 is 8828467902.

It can be written as a sum of positive squares in 2 ways, for example, as 2034731664 + 62916624 = 45108^2 + 7932^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328906 + ... + 335222.

Almost surely, 22097648288 is an apocalyptic number.

It is an amenable number.

2097648288 is an abundant number, since it is smaller than the sum of its proper divisors (3873657780).

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

2097648288 is a wasteful number, since it uses less digits than its factorization.

2097648288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7486 (or 7475 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 2097648288 is about 45800.0904802600. The cubic root of 2097648288 is about 1280.1009620883.

The spelling of 2097648288 in words is "two billion, ninety-seven million, six hundred forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1153 2306 3459 4612 6317 6918 9224 10377 12634 13836 18448 18951 20754 25268 27672 36896 37902 41508 50536 55344 56853 75804 83016 101072 110688 113706 151608 166032 202144 227412 303216 332064 454824 606432 909648 1819296 7283501 14567002 21850503 29134004 43701006 58268008 65551509 87402012 116536016 131103018 174804024 233072032 262206036 349608048 524412072 699216096 1048824144 2097648288