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4120789644 = 2232538326021
BaseRepresentation
bin1111010110011110…
…0100001010001100
3101122011222210200200
43311213210022030
531414410232034
61520522453500
7204055063656
oct36547441214
911564883620
104120789644
111825095284
12970064290
13508963b8a
142b13d76d6
15191b84a99
hexf59e428c

4120789644 has 72 divisors (see below), whose sum is σ = 10741257072. Its totient is φ = 1331391360.

The previous prime is 4120789639. The next prime is 4120789667. The reversal of 4120789644 is 4469870214.

4120789644 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4120789644.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145354 + ... + 171374.

It is an arithmetic number, because the mean of its divisors is an integer number (149184126).

Almost surely, 24120789644 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 4120789644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370628536).

4120789644 is an abundant number, since it is smaller than the sum of its proper divisors (6620467428).

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

4120789644 is a wasteful number, since it uses less digits than its factorization.

4120789644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26167 (or 26162 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4120789644 is about 64193.3769480933. The cubic root of 4120789644 is about 1603.2213282792.

The spelling of 4120789644 in words is "four billion, one hundred twenty million, seven hundred eighty-nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 83 106 159 166 212 249 318 332 477 498 636 747 954 996 1494 1908 2988 4399 8798 13197 17596 26021 26394 39591 52042 52788 78063 79182 104084 156126 158364 234189 312252 468378 936756 1379113 2159743 2758226 4137339 4319486 5516452 6479229 8274678 8638972 12412017 12958458 16549356 19437687 24824034 25916916 38875374 49648068 77750748 114466379 228932758 343399137 457865516 686798274 1030197411 1373596548 2060394822 4120789644