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4872417705 = 34537325153
BaseRepresentation
bin1001000100110101…
…10011000110101001
3110120120022110120000
410202122303012221
534434314331310
62123252453213
7231512603301
oct44232630651
913516273500
104872417705
1120803975a1
12b3b91a209
135c85ab6cc
14343170601
151d7b544c0
hex1226b31a9

4872417705 has 40 divisors (see below), whose sum is σ = 8970348552. Its totient is φ = 2528381952.

The previous prime is 4872417701. The next prime is 4872417707. The reversal of 4872417705 is 5077142784.

It can be written as a sum of positive squares in 4 ways, for example, as 1967099904 + 2905317801 = 44352^2 + 53901^2 .

It is not a de Polignac number, because 4872417705 - 22 = 4872417701 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (4872417701) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 147592 + ... + 177561.

Almost surely, 24872417705 is an apocalyptic number.

4872417705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4872417705 is a deficient number, since it is larger than the sum of its proper divisors (4097930847).

4872417705 is a wasteful number, since it uses less digits than its factorization.

4872417705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325207 (or 325198 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The square root of 4872417705 is about 69802.7055707728. The cubic root of 4872417705 is about 1695.3062803096.

The spelling of 4872417705 in words is "four billion, eight hundred seventy-two million, four hundred seventeen thousand, seven hundred five".

Divisors: 1 3 5 9 15 27 37 45 81 111 135 185 333 405 555 999 1665 2997 4995 14985 325153 975459 1625765 2926377 4877295 8779131 12030661 14631885 26337393 36091983 43895655 60153305 108275949 131686965 180459915 324827847 541379745 974483541 1624139235 4872417705