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2096434656 = 25334195791
BaseRepresentation
bin111110011110101…
…0000110111100000
312102002210220201000
41330331100313200
513243141402111
6544005512000
7102644254251
oct17475206740
95362726630
102096434656
11986423428
124a6112600
132754400a4
1415c5dcb28
15c40b0c56
hex7cf50de0

2096434656 has 96 divisors (see below), whose sum is σ = 6130252800. Its totient is φ = 697023360.

The previous prime is 2096434643. The next prime is 2096434657. The reversal of 2096434656 is 6564346902.

2096434656 is a `hidden beast` number, since 209 + 6 + 434 + 6 + 5 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2096434657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359121 + ... + 364911.

It is an arithmetic number, because the mean of its divisors is an integer number (63856800).

Almost surely, 22096434656 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 2096434656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065126400).

2096434656 is an abundant number, since it is smaller than the sum of its proper divisors (4033818144).

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

2096434656 is a wasteful number, since it uses less digits than its factorization.

2096434656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6229 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 2096434656 is about 45786.8393318429. The cubic root of 2096434656 is about 1279.8540393461.

The spelling of 2096434656 in words is "two billion, ninety-six million, four hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 419 432 838 864 1257 1676 2514 3352 3771 5028 5791 6704 7542 10056 11313 11582 13408 15084 17373 20112 22626 23164 30168 34746 40224 45252 46328 52119 60336 69492 90504 92656 104238 120672 138984 156357 181008 185312 208476 277968 312714 362016 416952 555936 625428 833904 1250856 1667808 2426429 2501712 4852858 5003424 7279287 9705716 14558574 19411432 21837861 29117148 38822864 43675722 58234296 65513583 77645728 87351444 116468592 131027166 174702888 232937184 262054332 349405776 524108664 698811552 1048217328 2096434656