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4202717985 = 325175493749
BaseRepresentation
bin1111101010000000…
…0110001100100001
3101211220011012020200
43322200012030201
532101343433420
61533010455413
7206101341054
oct37240061441
911756135220
104202717985
111867363254
12993594569
1351c91ab9b
142bc242a9b
15198e69b90
hexfa806321

4202717985 has 24 divisors (see below), whose sum is σ = 7713225000. Its totient is φ = 2109599232.

The previous prime is 4202717983. The next prime is 4202718017. The reversal of 4202717985 is 5897172024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1466277264 + 2736440721 = 38292^2 + 52311^2 .

It is not a de Polignac number, because 4202717985 - 21 = 4202717983 is a prime.

It is a super-2 number, since 2×42027179852 = 35325676922884920450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4202717985.

It is not an unprimeable number, because it can be changed into a prime (4202717983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2746110 + ... + 2747639.

It is an arithmetic number, because the mean of its divisors is an integer number (321384375).

Almost surely, 24202717985 is an apocalyptic number.

4202717985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4202717985 is a deficient number, since it is larger than the sum of its proper divisors (3510507015).

4202717985 is a wasteful number, since it uses less digits than its factorization.

4202717985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493777 (or 5493774 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 4202717985 is about 64828.3733021275. The cubic root of 4202717985 is about 1613.7766086624.

The spelling of 4202717985 in words is "four billion, two hundred two million, seven hundred seventeen thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 5493749 16481247 27468745 49443741 82406235 93393733 247218705 280181199 466968665 840543597 1400905995 4202717985