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2077433649 = 342392449
BaseRepresentation
bin111101111010011…
…0001111100110001
312100210001120020000
41323310301330301
513223310334044
6542050340213
7102323615604
oct17364617461
95323046200
102077433649
11976725715
1249b88a669
132715195a5
14159c9433b
15c25aad69
hex7bd31f31

2077433649 has 30 divisors (see below), whose sum is σ = 3123306450. Its totient is φ = 1376089344.

The previous prime is 2077433641. The next prime is 2077433653. The reversal of 2077433649 is 9463347702.

2077433649 is a `hidden beast` number, since 207 + 7 + 433 + 6 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1850720400 + 226713249 = 43020^2 + 15057^2 .

It is not a de Polignac number, because 2077433649 - 23 = 2077433641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2077433641) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 4626577 + ... + 4627025.

It is an arithmetic number, because the mean of its divisors is an integer number (104110215).

Almost surely, 22077433649 is an apocalyptic number.

It is an amenable number.

2077433649 is a deficient number, since it is larger than the sum of its proper divisors (1045872801).

2077433649 is an frugal number, since it uses more digits than its factorization.

2077433649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 2077433649 is about 45578.8728359972. The cubic root of 2077433649 is about 1275.9756518400.

The spelling of 2077433649 in words is "two billion, seventy-seven million, four hundred thirty-three thousand, six hundred forty-nine".

Divisors: 1 3 9 27 81 239 449 717 1347 2151 4041 6453 12123 19359 36369 57121 107311 171363 321933 514089 965799 1542267 2897397 4626801 8692191 25647329 76941987 230825961 692477883 2077433649