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2414452068 = 2232721368737
BaseRepresentation
bin1000111111101001…
…1001110101100100
320020021012212120200
42033322121311210
514421044431233
61035330030500
7113555334600
oct21772316544
96207185520
102414452068
111029993636
12574718430
132c62a8a82
1418c942500
15e1e7d313
hex8fe99d64

2414452068 has 54 divisors (see below), whose sum is σ = 7099644006. Its totient is φ = 689842944.

The previous prime is 2414452067. The next prime is 2414452069. The reversal of 2414452068 is 8602544142.

2414452068 is a `hidden beast` number, since 2 + 4 + 1 + 445 + 206 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2414452067) and next prime (2414452069).

It can be written as a sum of positive squares in only one way, i.e., 1489805604 + 924646464 = 38598^2 + 30408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2414452067) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 682605 + ... + 686132.

It is an arithmetic number, because the mean of its divisors is an integer number (131474889).

Almost surely, 22414452068 is an apocalyptic number.

2414452068 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2414452068 is an abundant number, since it is smaller than the sum of its proper divisors (4685191938).

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

2414452068 is a wasteful number, since it uses less digits than its factorization.

2414452068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368761 (or 1368749 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2414452068 is about 49137.0742718774. The cubic root of 2414452068 is about 1341.5479379078.

The spelling of 2414452068 in words is "two billion, four hundred fourteen million, four hundred fifty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 1368737 2737474 4106211 5474948 8212422 9581159 12318633 16424844 19162318 24637266 28743477 38324636 49274532 57486954 67068113 86230431 114973908 134136226 172460862 201204339 268272452 344921724 402408678 603613017 804817356 1207226034 2414452068